Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus

Abstract Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation. Using the boson-fermion correspondence, we derive the formula for the...

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Main Author: Min-xin Huang
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2021)144
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spelling doaj-52c321ff981e45fd92d69167ec3f6f8a2021-07-25T11:45:11ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021711310.1007/JHEP07(2021)144Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torusMin-xin Huang0Interdisciplinary Center for Theoretical Study, University of Science and Technology of ChinaAbstract Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation. Using the boson-fermion correspondence, we derive the formula for the deformed partition function in fermionic description and give a proof of the holomorphic anomaly equation.https://doi.org/10.1007/JHEP07(2021)144Topological Strings1/N ExpansionField Theories in Lower Dimensions
collection DOAJ
language English
format Article
sources DOAJ
author Min-xin Huang
spellingShingle Min-xin Huang
Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Journal of High Energy Physics
Topological Strings
1/N Expansion
Field Theories in Lower Dimensions
author_facet Min-xin Huang
author_sort Min-xin Huang
title Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
title_short Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
title_full Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
title_fullStr Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
title_full_unstemmed Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
title_sort boson-fermion correspondence and holomorphic anomaly equation in 2d yang-mills theory on torus
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-07-01
description Abstract Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation. Using the boson-fermion correspondence, we derive the formula for the deformed partition function in fermionic description and give a proof of the holomorphic anomaly equation.
topic Topological Strings
1/N Expansion
Field Theories in Lower Dimensions
url https://doi.org/10.1007/JHEP07(2021)144
work_keys_str_mv AT minxinhuang bosonfermioncorrespondenceandholomorphicanomalyequationin2dyangmillstheoryontorus
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