Anisotropic Kondo line defect and ODE/IM correspondence

We study the anisotropic Kondo line defects in products of chiral SU(2) 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...

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Main Author: Jingxiang Wu
Format: Article
Language:English
Published: SciPost 2023-12-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.15.6.248
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author Jingxiang Wu
author_facet Jingxiang Wu
author_sort Jingxiang Wu
collection DOAJ
description We study the anisotropic Kondo line defects in products of chiral SU(2) 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.
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spelling doaj.art-173a4c6258894891b82bae45b64670642023-12-20T17:11:12ZengSciPostSciPost Physics2542-46532023-12-0115624810.21468/SciPostPhys.15.6.248Anisotropic Kondo line defect and ODE/IM correspondenceJingxiang WuWe study the anisotropic Kondo line defects in products of chiral SU(2) 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.https://scipost.org/SciPostPhys.15.6.248
spellingShingle Jingxiang Wu
Anisotropic Kondo line defect and ODE/IM correspondence
SciPost Physics
title Anisotropic Kondo line defect and ODE/IM correspondence
title_full Anisotropic Kondo line defect and ODE/IM correspondence
title_fullStr Anisotropic Kondo line defect and ODE/IM correspondence
title_full_unstemmed Anisotropic Kondo line defect and ODE/IM correspondence
title_short Anisotropic Kondo line defect and ODE/IM correspondence
title_sort anisotropic kondo line defect and ode im correspondence
url https://scipost.org/SciPostPhys.15.6.248
work_keys_str_mv AT jingxiangwu anisotropickondolinedefectandodeimcorrespondence