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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Format: | Article |
Language: | English |
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SciPost
2023-12-01
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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. |
first_indexed | 2024-03-08T21:37:48Z |
format | Article |
id | doaj.art-173a4c6258894891b82bae45b6467064 |
institution | Directory Open Access Journal |
issn | 2542-4653 |
language | English |
last_indexed | 2024-03-08T21:37:48Z |
publishDate | 2023-12-01 |
publisher | SciPost |
record_format | Article |
series | SciPost Physics |
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 |