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Invariant theory of $$\imath $$ quantum groups of type AIII Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-18
Abstract We develop an invariant theory of quasi-split \(\imath \) quantum groups \({\textbf {U}} _n^\imath \) of type AIII on a tensor space associated to \(\imath \) Howe dualities. The first and second fundamental theorems for \({\textbf {U}} _n^\imath \) -invariants are derived.
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On the density of 2D critical percolation gaskets and anchored clusters Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-15
Abstract We prove a formula, first obtained by Kleban, Simmons and Ziff using conformal field theory methods, for the (renormalized) density of a critical percolation cluster in the upper half-plane “anchored” to a point on the real line. The proof is inspired by the method of images. We also show that more general bulk-boundary connection probabilities have well-defined, scale-covariant scaling limits
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Gukov–Pei–Putrov–Vafa conjecture for $$SU(N)/{\mathbb {Z}}_m$$ Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-13 Sachin Chauhan, Pichai Ramadevi
In our earlier work, we studied the \({\hat{Z}}\)-invariant(or homological blocks) for SO(3) gauge group and we found it to be same as \({\hat{Z}}^{SU(2)}\). This motivated us to study the \({\hat{Z}}\)-invariant for quotient groups \(SU(N)/{\mathbb {Z}}_m\), where m is some divisor of N. Interestingly, we find that \({\hat{Z}}\)-invariant is independent of m.
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Calogero–Moser eigenfunctions modulo $$p^s$$ Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-13 Alexander Gorsky, Alexander Varchenko
In this note we use the Matsuo–Cherednik duality between the solutions to the Knizhnik–Zamolodchikov (KZ) equations and eigenfunctions of Calogero–Moser Hamiltonians to get the polynomial \(p^s\)-truncation of the Calogero–Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. The \(s\rightarrow
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Matrix product operator algebras II: phases of matter for 1D mixed states Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-13 Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár, David Pérez-García
The mathematical classification of topological phases of matter is a crucial step toward comprehending and characterizing the properties of quantum materials. In this study, our focus is on investigating phases of matter in one-dimensional open quantum systems. Our goal is to elucidate the emerging phase diagram of one-dimensional tensor network mixed states that act as renormalization fixed points
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KP solitons and the Riemann theta functions Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-12 Yuji Kodama
We show that the \(\tau \)-functions of the regular KP solitons from the totally nonnegative Grassmannians can be expressed by the Riemann theta functions on singular curves. We explicitly write the parameters in the Riemann theta function in terms of those of the KP soliton. We give a short remark on the Prym theta function on a double covering of singular curves. We also discuss the KP soliton on
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Wick-type deformation quantization of contact metric manifolds Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-07 Boris M. Elfimov, Alexey A. Sharapov
We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice. Unlike the case of symplectic or Poisson manifolds, not every classical observable on a general contact metric manifold can be promoted to a quantum one due to possible obstructions to quantization. We prove, however, that all these obstructions disappear
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Norm convergence of confined fermionic systems at zero temperature Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-07 Esteban Cárdenas
The semi-classical limit of ground states of large systems of fermions was studied by Fournais et al. (Calc Var Partial Differ Equ 57:105, 2018). In particular, the authors prove weak convergence toward classical states associated with the minimizers of the Thomas–Fermi functional. In this paper, we revisit this limit and show that under additional assumptions—and, using simple arguments—it is possible
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Twisted index on hyperbolic four-manifolds Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-07 Daniele Iannotti, Antonio Pittelli
We introduce the topologically twisted index for four-dimensional \({\mathcal {N}}=1\) gauge theories quantized on \({\textrm{AdS}_2}\times S^1\). We compute the index by applying supersymmetric localization to partition functions of vector and chiral multiplets on \({\textrm{AdS}_2}\times T^2\), with and without a boundary: in both instances we classify normalizability and boundary conditions for
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Some new perspectives on the Kruskal–Szekeres extension with applications to photon surfaces Lett. Math. Phys. (IF 1.2) Pub Date : 2024-03-07
Abstract It is a well-known fact that the Schwarzschild spacetime admits a maximal spacetime extension in null coordinates which extends the exterior Schwarzschild region past the Killing horizon, called the Kruskal–Szekeres extension. This method of extending the Schwarzschild spacetime was later generalized by Brill–Hayward to a class of spacetimes of “profile h” across non-degenerate Killing horizons
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Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-26 Marco Benini, Giorgio Musante, Alexander Schenkel
We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued in cochain complexes, of a natural collection of free BV theories on the category of m-dimensional globally hyperbolic Lorentzian manifolds. Our comparison is realized as an explicit isomorphism of time-orderable prefactorization algebras. The key ingredients
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Some characterizations of compact Einstein-type manifolds Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-24 Maria Andrade, Ana Paula de Melo
In this work, we investigate the geometry and topology of compact Einstein-type manifolds with nonempty boundary. First, we prove a sharp boundary estimate and as consequence we obtain, under certain hypotheses, that the Hawking mass is bounded from below in terms of area. Then we give a topological classification for its boundary. Finally, we deduce some classification results for compact Einstein-type
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Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-19
Abstract Lagrangian multiforms provide a variational framework to describe integrable hierarchies. The case of Lagrangian 1-forms covers finite-dimensional integrable systems. We use the theory of Lie dialgebras introduced by Semenov-Tian-Shansky to construct a Lagrangian 1-form. Given a Lie dialgebra associated with a Lie algebra \(\mathfrak {g}\) and a collection \(H_k\) , \(k=1,\dots ,N\) , of invariant
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Double Poisson brackets and involutive representation spaces Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-18
Abstract Let \(\Bbbk \) be an algebraically closed field of characteristic 0 and A be a finitely generated associative \(\Bbbk \) -algebra, in general noncommutative. One assigns to A a sequence of commutative \(\Bbbk \) -algebras \(\mathcal {O}(A,d)\) , \(d=1,2,3,\dots \) , where \(\mathcal {O}(A,d)\) is the coordinate ring of the space \({\text {Rep}}(A,d)\) of d-dimensional representations of the
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A note on two-times measurement entropy production and modular theory Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-16 T. Benoist, L. Bruneau, V. Jakšić, A. Panati, C.-A. Pillet
Recent theoretical investigations of the two-times measurement entropy production (2TMEP) in quantum statistical mechanics have shed a new light on the mathematics and physics of the quantum mechanical probabilistic rules. Among notable developments are the extensions of entropic fluctuation relations to the quantum domain and the discovery of a deep link between 2TMEP and modular theory of operator
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Recoverability of quantum channels via hypothesis testing Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-16 Anna Jenčová
A quantum channel is sufficient with respect to a set of input states if it can be reversed on this set. In the approximate version, the input states can be recovered within an error bounded by the decrease of the relative entropy under the channel. Using a new integral representation of the relative entropy in Frenkel (Integral formula for quantum relative entropy implies data processing inequality
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Application of tetragonal curves to coupled Boussinesq equations Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-15
Abstract The hierarchy of coupled Boussinesq equations related to a \(4\times 4\) matrix spectral problem is derived by using the zero-curvature equation and Lenard recursion equations. The characteristic polynomial of the Lax matrix is employed to introduce the associated tetragonal curve and Riemann theta functions. The detailed theory of resulting tetragonal curves is established by exploring the
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Tunneling effect between radial electric wells in a homogeneous magnetic field Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-14
Abstract We establish a tunneling formula for a Schrödinger operator with symmetric double-well potential and homogeneous magnetic field, in dimension two. Each well is assumed to be radially symmetric and compactly supported. We obtain an asymptotic formula for the difference between the two first eigenvalues of this operator, that is exponentially small in the semiclassical limit.
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On the set of reduced states of translation invariant, infinite quantum systems Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-13 Vjosa Blakaj, Michael M. Wolf
The set of two-body reduced states of translation invariant, infinite quantum spin chains can be approximated from inside and outside using matrix product states and marginals of finite systems, respectively. These lead to hierarchies of algebraic approximations that become tight only in the limit of infinitely many auxiliary variables. We show that this is necessarily so for any algebraic ansatz by
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Universal cusp scaling in random partitions Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-05 Taro Kimura, Ali Zahabi
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$$\beta $$ -Ensembles and higher genera Catalan numbers Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-05
Abstract We propose formulas for the large N expansion of the generating function of connected correlators of the \(\beta \) -deformed Gaussian and Wishart–Laguerre matrix models. We show that our proposal satisfies the known transformation properties under the exchange of \(\beta \) with \(1/\beta \) and, using Virasoro constraints, we derive a recursion formula for the coefficients of the expansion
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Real symmetric $$ \Phi ^4$$ -matrix model as Calogero–Moser model Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-05 Harald Grosse, Naoyuki Kanomata, Akifumi Sako, Raimar Wulkenhaar
We study a real symmetric \(\Phi ^4\)-matrix model whose kinetic term is given by \(\textrm{Tr}( E \Phi ^2)\), where E is a positive diagonal matrix without degenerate eigenvalues. We show that the partition function of this matrix model corresponds to a zero-energy solution of a Schrödinger type equation with Calogero–Moser Hamiltonian. A family of differential equations satisfied by the partition
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Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-03 Bruno Nachtergaele, Robert Sims, Amanda Young
We prove that uniformly small short-range perturbations do not close the bulk gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topological quantum order condition. In contrast with earlier results, we do not require a positive lower bound for finite-system spectral gaps uniform in the system size. To obtain this result, we extend the Bravyi–Hastings–Michalakis
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Polar form of Dirac fields: implementing symmetries via Lie derivative Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-01 Luca Fabbri, Stefano Vignolo, Roberto Cianci
We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: By using the polar decomposition we acquire the mean to study the implementation of symmetries on Dirac fields. Specifically, we will become able to examine under what conditions it is equivalent to impose a symmetry upon a spinor or only upon its observables. For one physical application, we discuss the role
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Solutions to graded reflection equation of GL-type Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-01 D. Algethami, A. Mudrov, V. Stukopin
We list solutions of the graded reflection equation associated with the fundamental vector representation of a quantum supergroup of GL-type.
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On the vertex functions of type A quiver varieties Lett. Math. Phys. (IF 1.2) Pub Date : 2024-02-01 Hunter Dinkins
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Identities for Rankin–Cohen brackets, Racah coefficients and associativity Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-19
Abstract We prove an infinite family of identities satisfied by the Rankin–Cohen brackets involving the Racah polynomials. A natural interpretation in the representation theory of sl(2) is provided. From these identities and known properties of the Racah polynomials follows a short new proof of the associativity of the Eholzer product. Finally, we discuss, in the context of Rankin–Cohen algebras introduced
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Quantization as a categorical equivalence Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-18 Benjamin H. Feintzeig
We demonstrate that, in certain cases, quantization and the classical limit provide functors that are “almost inverse” to each other. These functors map between categories of algebraic structures for classical and quantum physics, establishing a categorical equivalence.
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Uniqueness of the extremal Schwarzschild de Sitter spacetime Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-18 David Katona, James Lucietti
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Equivariant localization and holography Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-08 Dario Martelli, Alberto Zaffaroni
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Reciprocity of the Chern–Simons invariants of 3-manifolds Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-11 Takefumi Nosaka
We pose a reciprocity conjecture of the Chern–Simons invariants of 3-manifolds, and discuss some supporting evidence on the conjectures. Particularly, we show that the conjectures hold if Galois descent of a certain \(K_3\)-group is satisfied.
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Twisted formalism for 3d $${\mathcal {N}}=4$$ theories Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-10 Niklas Garner
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Almost multiplicity free subgroups of compact Lie groups and polynomial integrability of sub-Riemannian geodesic flows Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-06 Božidar Jovanović, Tijana Šukilović, Srdjan Vukmirović
We classify almost multiplicity free subgroups K of compact simple Lie groups G. The problem is related to the integrability of Riemannian and sub-Riemannian geodesic flows of left-invariant metrics defined by a specific extension of integrable systems from \(T^*K\) to \(T^*G\).
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On intermediate Lie algebra $$E_{7+1/2}$$ Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-06 Kimyeong Lee, Kaiwen Sun, Haowu Wang
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Kostant’s problem for Whittaker modules Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-03 Chih-Whi Chen
We study the classical problem of Kostant for Whittaker modules over Lie algebras and Lie superalgebras. We give a sufficient condition for a positive answer to Kostant’s problem for the standard Whittaker modules over reductive Lie algebras. Under the same condition, the positivity of the answer for simple Whittaker modules is reduced to that for simple highest weight modules. We develop several reduction
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From projective representations to pentagonal cohomology via quantization Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-04 Victor Gayral, Valentin Marie
Given a locally compact group \(G=Q < imes V\) such that V is Abelian and such that the action of Q on the Pontryagin dual \({\hat{V}}\) has a free orbit of full measure, we construct a family of unitary dual 2-cocycles \(\Omega _\omega \) (aka non-formal Drinfel’d twists) whose equivalence classes \([\Omega _\omega ]\in H^2({\hat{G}},{\mathbb {T}})\) are parametrized by cohomology classes \([\omega
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A Wilson line realization of quantum groups Lett. Math. Phys. (IF 1.2) Pub Date : 2024-01-05 Nanna Aamand, Dani Kaufman
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On additional symmetry and bilinearization of the q-Painlevé systems associated with the affine Weyl group of type A Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-31 Tetsu Masuda
We present a description of the additional symmetry of the discrete dynamical systems proposed by Kajiwara–Noumi–Yamada, which originally possess an extended affine Weyl group symmetry \(\widetilde{W}(A_{m-1}^{(1)})\times \widetilde{W}(A_{n-1}^{(1)})\). We also propose a formulation of the systems in terms of the so-called \(\tau \)-variables.
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Rigidity of quasi-Einstein metrics: the incompressible case Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-29 Eric Bahuaud, Sharmila Gunasekaran, Hari K. Kunduri, Eric Woolgar
As part of a programme to classify quasi-Einstein metrics (M, g, X) on closed manifolds and near-horizon geometries of extreme black holes, we study such spaces when the vector field X is divergence-free but not identically zero. This condition is satisfied by left-invariant quasi-Einstein metrics on compact homogeneous spaces (including the near-horizon geometry of an extreme Myers–Perry black hole
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Standing waves with prescribed $$L^2$$ -norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-23 Tianxiang Gou
In this paper, we are concerned with solutions to the following nonlinear Schrödinger equation with combined inhomogeneous nonlinearities, $$\begin{aligned} -\Delta u + \lambda u= \mu |x|^{-b}|u|^{q-2} u + |x|^{-b}|u|^{p-2} u \quad \text{ in } \,\, \mathbb {R}^N, \end{aligned}$$ under the \(L^2\)-norm constraint $$\begin{aligned} \int _{\mathbb {R}^N} |u|^2 \, dx=c>0, \end{aligned}$$ where \(N \ge
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Localization of polynomial long-range hopping lattice operator with uniform electric fields Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-22 Yingte Sun, Chen Wang
In this paper, we study a polynomial long-range hopping lattice operator with uniform electric fields under perturbation. We prove that, for small perturbation, the operator shows uniform power-law localization and dynamical localization. In our proof, we conjugate the original operator to a diagonal one via a KAM-like iteration.
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Identities for deformation quantizations of almost Poisson algebras Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-20 Vladimir Dotsenko
We propose an algebraic viewpoint of the problem of deformation quantization of the so-called almost Poisson algebras, which are algebras with a commutative associative product and an antisymmetric bracket which is a biderivation but does not necessarily satisfy the Jacobi identity. From that viewpoint, the main result of the paper asserts that, by contrast with Poisson algebras, the only reasonable
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On deformations of coisotropic submanifolds with fixed characteristic foliation Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-22 Stephane Geudens
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Gaudin model and Deligne’s category Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-19 B. Feigin, L. Rybnikov, F. Uvarov
We show that the construction of the higher Gaudin Hamiltonians associated with the Lie algebra \(\mathfrak {gl}_{n}\) admits an interpolation to any complex number n. We do this using the Deligne’s category \(\mathcal {D}_{t}\), which is a formal way to define the category of finite-dimensional representations of the group \(GL_{n}\), when n is not necessarily a natural number. We also obtain interpolations
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Causal localizations of the massive scalar boson Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-19 Domenico P. L. Castrigiano
The positive operator-valued localizations (POL) of a massive scalar boson are constructed, and a characterization and structural analyses of their kernels are obtained. In the focus of this article are the causal features of the POL. There is the well-known causal time evolution (CT). Recently a POL by Terno and Moretti, which is a kinematical deformation of the Newton–Wigner localization (NWL) and
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Approximate orthogonality of permutation operators, with application to quantum information Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-16 Aram W. Harrow
Consider the n! different unitary matrices that permute n d-dimensional quantum systems. If \(d\ge n\) then they are linearly independent. This paper discusses a sense in which they are approximately orthogonal (with respect to the Hilbert–Schmidt inner product, \(\langle A,B\rangle = \textrm{tr}A^\dag B/\textrm{tr}I\)) if \(d\gg n^2\), or, in a different sense, if \(d\gg n\). Previous work had shown
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Permutationally invariant 3-dimensional vector spaces of $$3\times 3$$ symmetric matrices: a groupoid Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-15 Daniel B. Dix
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The constrained KP hierarchy and the bigraded Toda hierarchy of (M, 1)-type Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-15 Ang Fu, Di Yang, Dafeng Zuo
In this paper, we extend the matrix-resolvent method to the study of the Dubrovin–Zhang type tau-functions for the constrained KP hierarchy and the bigraded Toda hierarchy of (M, 1)-type. We show that the Dubrovin–Zhang type tau-function of an arbitrary solution to the bigraded Toda hierarchy of (M, 1)-type is a Dubrovin–Zhang type tau-function for the constrained KP hierarchy, which generalizes the
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On the commutant of the principal subalgebra in the $$A_1$$ lattice vertex algebra Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-13 Kazuya Kawasetsu
The coset (commutant) construction is a fundamental tool to construct vertex operator algebras from known vertex operator algebras. The aim of this paper is to provide a fundamental example of the commutants of vertex algebras outside vertex operator algebras. Namely, the commutant C of the principal subalgebra W of the \(A_1\) lattice vertex operator algebra \(V_{A_1}\) is investigated. An explicit
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Orthosymplectic superinstanton counting and brane dynamics Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-08 Taro Kimura, Yilu Shao
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Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki–Fannes–Winter technique Lett. Math. Phys. (IF 1.2) Pub Date : 2023-12-04 Maksim Shirokov
We consider a quasi-classical version of the Alicki–Fannes–Winter technique widely used for quantitative continuity analysis of characteristics of quantum systems and channels. This version allows us to obtain continuity bounds under constraints of different types for quantum states belonging to subsets of a special form that can be called “quasi-classical”. Several applications of the proposed method
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The basic resolvents of position and momentum operators form a total set in the resolvent algebra Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-26 Detlev Buchholz, Teun D. H. van Nuland
Let Q and P be the position and momentum operators of a particle in one dimension. It is shown that all compact operators can be approximated in norm by linear combinations of the basic resolvents \((aQ + bP - i r)^{-1}\) for real constants \(a,b,r \ne 0\). This implies that the basic resolvents form a total set (norm dense span) in the C*-algebra \(\mathfrak {R}\) generated by the resolvents, termed
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Remarks on the size of apparent horizons Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-20 Gregory J. Galloway
Marginally outer trapped surfaces (also referred to as apparent horizons) that are stable in 3-dimensional initial data sets obeying the dominant energy condition strictly are known to satisfy an area bound. The main purpose of this note is to show (in several ways) that such surfaces also satisfy a diameter bound. Some comments about higher dimensions are also presented.
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Knot homologies and generalized quiver partition functions Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-13 Tobias Ekholm, Piotr Kucharski, Pietro Longhi
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Anyonic quantum symmetries of finite spaces Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-09 Anshu, Suvrajit Bhattacharjee, Atibur Rahaman, Sutanu Roy
We construct a braided analog of the quantum permutation group and show that it is the universal braided compact quantum group acting on a finite space in the category of \({\mathbb {Z}}/N\mathbb {Z}\)-\(C ^*\)-algebras with a twisted monoidal structure. As an application, we prove the existence of braided quantum symmetries of finite, simple, undirected, circulant graphs, explicitly compute it for
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About an integral inequality and rigidity of m-quasi-Einstein manifolds Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-07 Murilo Araújo, Allan Freitas, Márcio Santos
In this short note, we apply a Reilly-type identity to obtain an integral inequality for the boundary of a bounded domain in a \(m-\)quasi-Einstein manifold. Furthermore, a rigidity characterization for the whole manifold is obtained in the equality case. Such a result extends a previous one obtained in the context of static manifolds and it is related to the stability of Wang–Yau Energy.
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The semiclassical limit of a quantum Zeno dynamics Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-06 Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò
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Rigorous derivation of the Efimov effect in a simple model Lett. Math. Phys. (IF 1.2) Pub Date : 2023-11-03 Davide Fermi, Daniele Ferretti, Alessandro Teta
We consider a system of three identical bosons in \(\mathbb {R}^3\) with two-body zero-range interactions and a three-body hard-core repulsion of a given radius \( a > 0\). Using a quadratic form approach, we prove that the corresponding Hamiltonian is self-adjoint and bounded from below for any value of a. In particular, this means that the hard-core repulsion is sufficient to prevent the fall to
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Fundamental weight systems are quantum states Lett. Math. Phys. (IF 1.2) Pub Date : 2023-10-30 David Corfield, Hisham Sati, Urs Schreiber