Boundary entropy of integrable perturbed $SU(2)_k$ WZNW
High Energy Physics - Theory
2019-06-06 v1 Statistical Mechanics
Abstract
We apply the recently developped analytical methods for computing the boundary entropy, or the g-function, in integrable theories with non-diagonal scattering. We consider the particular case of the current-perturbed WZNW model with boundary and compute the boundary entropy for a specific boundary condition. The main problem we encounter is that in case of non-diagonal scattering the boundary entropy is infinite. We show that this infinity can be cured by a subtraction. The difference of the boundary entropies in the UV and in the IR limits is finite, and matches the known g-functions for the unperturbed WZNW model for even values of the level.
Keywords
Cite
@article{arxiv.1906.01909,
title = {Boundary entropy of integrable perturbed $SU(2)_k$ WZNW},
author = {Ivan Kostov and Didina Serban and Dinh-Long Vu},
journal= {arXiv preprint arXiv:1906.01909},
year = {2019}
}
Comments
27 pages, 3 figures