Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 2018 | Published + Submitted
Journal Article Open

On dual description of the deformed O(N) sigma model

Abstract

We study dual strong coupling description of integrability-preserving deformation of the O(N) sigma model. Dual theory is described by a coupled theory of Dirac fermions with four-fermion interaction and bosonic fields with exponential interactions. We claim that both theories share the same integrable structure and coincide as quantum field theories. We construct a solution of Ricci flow equation which behaves in the UV as a free theory perturbed by graviton operators and show that it coincides with the metric of the η-deformed O(N) sigma-model after T -duality transformation.

Additional Information

© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: June 15, 2018; Accepted: November 13, 2018; Published: November 22, 2018. The results of section 3 and 4 as well as of the appendix C are obtained by A.L. The results of sections 2 and of appendices A and B are obtained by L.S. The introduction was written in close collaboration between the participants of this publication. A.L. acknowledges discussions with Vladimir Fateev, Borya Feigin, Misha Bershtein and Serezha Lukyanov, his work is supported by Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. N 14.641.31.0001. The work of L.S. is supported by the Russian Science Foundation under grant 18-12-00439 and performed in Landau Institute for Theoretical Physics.

Attached Files

Published - Litvinov-Spodyneiko2018_Article_OnDualDescriptionOfTheDeformed.pdf

Submitted - 1804.07084.pdf

Files

1804.07084.pdf
Files (957.2 kB)
Name Size Download all
md5:fa2ba0af5be03085a554ec4dd26032dc
331.4 kB Preview Download
md5:becb8c676eeefaf324b0d2ec971f8cbd
625.8 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023