Anisotropic Kondo line defect and ODE/IM correspondence
High Energy Physics - Theory
2023-12-20 v3 Mathematical Physics
math.MP
Abstract
We study the anisotropic Kondo line defects in products of chiral WZW models. We propose an ODE/IM correspondence for the anisotropic Kondo problems by considering the four-dimensional Chern Simons theory in the trigonometric case. We verify the claim both by explicit perturbative calculations in the ultraviolet and by exact WKB analysis in the infrared. In doing so, we derived the infrared dynamics of a large class of anisotropic line defects.
Keywords
Cite
@article{arxiv.2106.07792,
title = {Anisotropic Kondo line defect and ODE/IM correspondence},
author = {Jingxiang Wu},
journal= {arXiv preprint arXiv:2106.07792},
year = {2023}
}
Comments
34 pages, 5 figures; v2: added references and a discussion on the relation with the transfer matrix; v3: typos fixed