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Quiver ##IMG## [http://ej.iop.org/images/1751-8121/53/27/275401/toc_aab9275ieqn1.gif] {${\text{W}}_{{\boldsymbol{{\epsilon}}}_{\mathbf{1}},{\boldsymbol{{\epsilon}}}_{\mathbf{2}}}$} algebras of 4D ##IMG## [h...] {$\boldsymbol{\mathcal{N}}\mathbf{=}\mathbf{2}$}
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-06-21 , DOI: 10.1088/1751-8121/ab9275 Fabrizio Nieri 1 , Yegor Zenkevich 2, 3, 4, 5
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-06-21 , DOI: 10.1088/1751-8121/ab9275 Fabrizio Nieri 1 , Yegor Zenkevich 2, 3, 4, 5
Affiliation
We construct an ϵ -deformation of W algebras, corresponding to the additive version of quiver ##IMG## [http://ej.iop.org/images/1751-8121/53/27/275401/aab9275ieqn6.gif] {${\text{W}}_{q,{t}^{-1}}$} algebras which feature prominently in the 5D version of the BPS/CFT correspondence and refined topological strings on toric Calabi–Yau’s. This new type of algebras fill in the missing intermediate level between q -deformed and ordinary W algebras. We show that ϵ -deformed W algebras are spectral duals of conventional W algebras, in particular the ϵ -deformed conformal blocks manifestly reproduce instanton partition functions of 4D ##IMG## [http://ej.iop.org/images/1751-8121/53/27/275401/aab9275ieqn7.gif] {$\mathcal{N}=2$} quiver gauge theories in the full Ω-background and give dual integral representations of ordinary W conformal blocks.
中文翻译:
箭袋## IMG ## [http://ej.iop.org/images/1751-8121/53/27/275401/toc_aab9275ieqn1.gif] {$ {\ text {W}} _ {{\ boldsymbol {{\\ epsilon}}} __ \\ mathbf {1}},{\ boldsymbol {{\ epsilon}} __ \\ mathbf {2}}} $} 4D代数## IMG ## [h ...] {$ \ boldsymbol {\ mathcal {N}} \ mathbf {=} \ mathbf {2} $}
我们构造了W代数的ϵ-变形,对应于颤动## IMG ##的加法版本[http://ej.iop.org/images/1751-8121/53/27/275401/aab9275ieqn6.gif] { $ {\ text {W}} _ {q,{t} ^ {-1}} $}代数,在5D版本的BPS / CFT对应关系中具有突出的特征,并在复曲面Calabi–Yau上精炼了拓扑字符串。这种新型的代数填补了q变形和普通W代数之间缺失的中间层。我们证明ϵ变形的W代数是常规W代数的谱对偶,特别是ϵ变形的保形块明显地再现了4D ## IMG ##的瞬时子分割函数[http://ej.iop.org/images/1751 -8121 / 53/27/275401 / aab9275ieqn7.gif] {$ \ mathcal {N} = 2 $}在整个Ω背景中的颤动量规理论,并给出了普通W保形块的对偶表示。
更新日期:2020-06-23
中文翻译:
箭袋## IMG ## [http://ej.iop.org/images/1751-8121/53/27/275401/toc_aab9275ieqn1.gif] {$ {\ text {W}} _ {{\ boldsymbol {{\\ epsilon}}} __ \\ mathbf {1}},{\ boldsymbol {{\ epsilon}} __ \\ mathbf {2}}} $} 4D代数## IMG ## [h ...] {$ \ boldsymbol {\ mathcal {N}} \ mathbf {=} \ mathbf {2} $}
我们构造了W代数的ϵ-变形,对应于颤动## IMG ##的加法版本[http://ej.iop.org/images/1751-8121/53/27/275401/aab9275ieqn6.gif] { $ {\ text {W}} _ {q,{t} ^ {-1}} $}代数,在5D版本的BPS / CFT对应关系中具有突出的特征,并在复曲面Calabi–Yau上精炼了拓扑字符串。这种新型的代数填补了q变形和普通W代数之间缺失的中间层。我们证明ϵ变形的W代数是常规W代数的谱对偶,特别是ϵ变形的保形块明显地再现了4D ## IMG ##的瞬时子分割函数[http://ej.iop.org/images/1751 -8121 / 53/27/275401 / aab9275ieqn7.gif] {$ \ mathcal {N} = 2 $}在整个Ω背景中的颤动量规理论,并给出了普通W保形块的对偶表示。