A large family of IRF solvable lattice models based on WZW models

Vladimir Belavin; Doron Gepner; J. Ramos Cabezas

doi:10.22323/1.414.0432

A large family of IRF solvable lattice models based on WZW models

Vladimir Belavin, Doron Gepner, J. Ramos Cabezas

Department of Particle Physics and Astrophysics

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

We consider the lattice models based on affine algebras described by Jimbo et al., for the algebras ABCD and by Kuniba et al. for G₂. We find a general formula for the crossing multipliers of these models, with the result that these crossing multipliers are given by the principally specialized characters of the model in question. Therefore we conjecture that the crossing multipliers in a large class of solvable interaction round the face lattice models are given by the characters of the conformal field theory on which they are based. We also elaborate on some details of the computation of the Local state probability of these models, conjecturing an expression for it.

Original language	English
Article number	432
Number of pages	6
Journal	Proceedings of Science
Volume	414
Early online date	8 Nov 2022
DOIs	https://doi.org/10.22323/1.414.0432
Publication status	Published - 15 Jun 2023
Event	41st International Conference on High Energy Physics, ICHEP 2022 - Bologna, Italy Duration: 6 Jul 2022 → 13 Jul 2022

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Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)

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10.22323/1.414.0432Licence: CC BY-NC-ND

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title = "A large family of IRF solvable lattice models based on WZW models",

abstract = "We consider the lattice models based on affine algebras described by Jimbo et al., for the algebras ABCD and by Kuniba et al. for G2. We find a general formula for the crossing multipliers of these models, with the result that these crossing multipliers are given by the principally specialized characters of the model in question. Therefore we conjecture that the crossing multipliers in a large class of solvable interaction round the face lattice models are given by the characters of the conformal field theory on which they are based. We also elaborate on some details of the computation of the Local state probability of these models, conjecturing an expression for it.",

author = "Vladimir Belavin and Doron Gepner and \{Ramos Cabezas\}, J.",

year = "2023",

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language = "English",

volume = "414",

journal = "Proceedings of Science",

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note = "41st International Conference on High Energy Physics, ICHEP 2022 ; Conference date: 06-07-2022 Through 13-07-2022",

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TY - JOUR

T1 - A large family of IRF solvable lattice models based on WZW models

AU - Belavin, Vladimir

AU - Gepner, Doron

AU - Ramos Cabezas, J.

PY - 2023/6/15

Y1 - 2023/6/15

N2 - We consider the lattice models based on affine algebras described by Jimbo et al., for the algebras ABCD and by Kuniba et al. for G2. We find a general formula for the crossing multipliers of these models, with the result that these crossing multipliers are given by the principally specialized characters of the model in question. Therefore we conjecture that the crossing multipliers in a large class of solvable interaction round the face lattice models are given by the characters of the conformal field theory on which they are based. We also elaborate on some details of the computation of the Local state probability of these models, conjecturing an expression for it.

AB - We consider the lattice models based on affine algebras described by Jimbo et al., for the algebras ABCD and by Kuniba et al. for G2. We find a general formula for the crossing multipliers of these models, with the result that these crossing multipliers are given by the principally specialized characters of the model in question. Therefore we conjecture that the crossing multipliers in a large class of solvable interaction round the face lattice models are given by the characters of the conformal field theory on which they are based. We also elaborate on some details of the computation of the Local state probability of these models, conjecturing an expression for it.

UR - https://www.scopus.com/pages/publications/85149963791

U2 - 10.22323/1.414.0432

DO - 10.22323/1.414.0432

M3 - Conference article

AN - SCOPUS:85149963791

SN - 1824-8039

VL - 414

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 432

T2 - 41st International Conference on High Energy Physics, ICHEP 2022

Y2 - 6 July 2022 through 13 July 2022

ER -

A large family of IRF solvable lattice models based on WZW models

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