On dual description of the deformed $O(N)$ sigma model
High Energy Physics - Theory
2018-12-05 v4 Mathematical Physics
math.MP
Abstract
We study dual strong coupling description of integrability-preserving deformation of the 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 deformed sigma-model after duality transformation.
Cite
@article{arxiv.1804.07084,
title = {On dual description of the deformed $O(N)$ sigma model},
author = {A. V. Litvinov and L. A. Spodyneiko},
journal= {arXiv preprint arXiv:1804.07084},
year = {2018}
}