Scaling limit of the Z2 invariant inhomogeneous six-vertex model

Scaling limit of the Z2 invariant inhomogeneous six-vertex model

The work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a numerical analysis of the Bethe ansatz equations as well as the powerful analytic technique of the ODE/IQFT correspondence...

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Main Authors: Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval, Sergei L. Lukyanov
Format: Article
Language:English
Published: Elsevier 2021-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321321000341
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spelling doaj-b14d9462553541c49c8ad7d3799327582021-03-23T04:11:29ZengElsevierNuclear Physics B0550-32132021-04-01965115337Scaling limit of the Z2 invariant inhomogeneous six-vertex modelVladimir V. Bazhanov0Gleb A. Kotousov1Sergii M. Koval2Sergei L. Lukyanov3Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 2601, AustraliaDESY, Theory Group, Notkestrasse 85, Hamburg 22607, Germany; Corresponding author.Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 2601, AustraliaNHETC, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA; Kharkevich Institute for Information Transmission Problems, Moscow, 127994, RussiaThe work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a numerical analysis of the Bethe ansatz equations as well as the powerful analytic technique of the ODE/IQFT correspondence. The results indicate that the critical behaviour of the lattice system is described by the gauged SL(2) WZW model with certain boundary and reality conditions imposed on the fields. Our proposal revises and extends the conjectured relation between the lattice system and the Euclidean black hole non-linear sigma model that was made in the 2011 paper of Ikhlef, Jacobsen and Saleur.http://www.sciencedirect.com/science/article/pii/S0550321321000341
collection DOAJ
language English
format Article
sources DOAJ
author Vladimir V. Bazhanov
Gleb A. Kotousov
Sergii M. Koval
Sergei L. Lukyanov
spellingShingle Vladimir V. Bazhanov
Gleb A. Kotousov
Sergii M. Koval
Sergei L. Lukyanov
Scaling limit of the Z2 invariant inhomogeneous six-vertex model
Nuclear Physics B
author_facet Vladimir V. Bazhanov
Gleb A. Kotousov
Sergii M. Koval
Sergei L. Lukyanov
author_sort Vladimir V. Bazhanov
title Scaling limit of the Z2 invariant inhomogeneous six-vertex model
title_short Scaling limit of the Z2 invariant inhomogeneous six-vertex model
title_full Scaling limit of the Z2 invariant inhomogeneous six-vertex model
title_fullStr Scaling limit of the Z2 invariant inhomogeneous six-vertex model
title_full_unstemmed Scaling limit of the Z2 invariant inhomogeneous six-vertex model
title_sort scaling limit of the z2 invariant inhomogeneous six-vertex model
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2021-04-01
description The work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a numerical analysis of the Bethe ansatz equations as well as the powerful analytic technique of the ODE/IQFT correspondence. The results indicate that the critical behaviour of the lattice system is described by the gauged SL(2) WZW model with certain boundary and reality conditions imposed on the fields. Our proposal revises and extends the conjectured relation between the lattice system and the Euclidean black hole non-linear sigma model that was made in the 2011 paper of Ikhlef, Jacobsen and Saleur.
url http://www.sciencedirect.com/science/article/pii/S0550321321000341
work_keys_str_mv AT vladimirvbazhanov scalinglimitofthez2invariantinhomogeneoussixvertexmodel
AT glebakotousov scalinglimitofthez2invariantinhomogeneoussixvertexmodel
AT sergiimkoval scalinglimitofthez2invariantinhomogeneoussixvertexmodel
AT sergeillukyanov scalinglimitofthez2invariantinhomogeneoussixvertexmodel
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