Scaling limit of the Invariant Inhomogeneous Six-vertex Model

Vladimir V. Bazhanov (Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, Australia) ; Gleb A. Kotousov (DESY, Theory Group, Hamburg, Germany) ; Sergii M. Koval (Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, Australia) ; Sergei L. Lukyanov (NHETC, Department of Physics and Astronomy, Rutgers University, Piscataway, USA; Kharkevich Institute for Information Transmission Problems, Moscow, Russia)

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.

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      "surname": "Koval", 
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      "value": "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 <math><mrow><mi>SL</mi></mrow><mo>(</mo><mn>2</mn><mo>)</mo></math> 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."
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Published on:
25 August 2021
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 965 C (2021)

Article ID: 115337
DOI:
https://doi.org/10.1016/j.nuclphysb.2021.115337
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: