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From Gaudin Integrable Models to d-Dimensional Multipoint Conformal Blocks

Ilija Burić, Sylvain Lacroix, Jeremy A. Mann, Lorenzo Quintavalle, and Volker Schomerus
Phys. Rev. Lett. 126, 021602 – Published 12 January 2021
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Abstract

In this work, we initiate an integrability-based approach to multipoint conformal blocks for higher-dimensional conformal field theories. Our main observation is that conformal blocks for N-point functions may be considered as eigenfunctions of integrable Gaudin Hamiltonians. This provides us with a complete set of differential equations that can be used to evaluate multipoint blocks.

  • Figure
  • Received 20 October 2020
  • Revised 29 November 2020
  • Accepted 8 December 2020

DOI:https://doi.org/10.1103/PhysRevLett.126.021602

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsStatistical Physics & Thermodynamics

Authors & Affiliations

Ilija Burić1, Sylvain Lacroix2,3, Jeremy A. Mann1, Lorenzo Quintavalle1, and Volker Schomerus1

  • 1DESY Theory Group, DESY Hamburg, Notkestrasse 85, D-22603 Hamburg, Germany
  • 2II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany
  • 3Zentrum für Mathematische Physik, Universität Hamburg, Bundesstrasse 55, D-20146 Hamburg, Germany

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Issue

Vol. 126, Iss. 2 — 15 January 2021

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