Semi-chiral operators in 4d N = 1 gauge theories

We discuss the properties of quarter-BPS local operators in four-dimensional N = 1 supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop corrections both to the space of local operators and to algebraic operations which endow the twisted theory with an infinite sy...

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Main Authors: Budzik, K, Gaiotto, D, Kulp, J, Williams, BR, Wu, J, Yu, M
Format: Journal article
Language:English
Published: Springer 2024
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author Budzik, K
Gaiotto, D
Kulp, J
Williams, BR
Wu, J
Yu, M
author_facet Budzik, K
Gaiotto, D
Kulp, J
Williams, BR
Wu, J
Yu, M
author_sort Budzik, K
collection OXFORD
description We discuss the properties of quarter-BPS local operators in four-dimensional N = 1 supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop corrections both to the space of local operators and to algebraic operations which endow the twisted theory with an infinite symmetry algebra. We classify all single-trace quarter-BPS operators in the planar approximation for SU(N) gauge theory and propose a holographic dual description for the twisted theory. We classify perturbative quarter-BPS operators in SU(2) and SU(3) gauge theories with sufficiently small quantum numbers and discuss possible non-perturbative corrections to the answer. We set up analogous calculations for some theories with matter.
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spelling oxford-uuid:db6ac625-ddcc-4f12-91f7-abaf1aec5dd02024-07-20T16:04:20ZSemi-chiral operators in 4d N = 1 gauge theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:db6ac625-ddcc-4f12-91f7-abaf1aec5dd0EnglishJisc Publications RouterSpringer2024Budzik, KGaiotto, DKulp, JWilliams, BRWu, JYu, MWe discuss the properties of quarter-BPS local operators in four-dimensional N = 1 supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop corrections both to the space of local operators and to algebraic operations which endow the twisted theory with an infinite symmetry algebra. We classify all single-trace quarter-BPS operators in the planar approximation for SU(N) gauge theory and propose a holographic dual description for the twisted theory. We classify perturbative quarter-BPS operators in SU(2) and SU(3) gauge theories with sufficiently small quantum numbers and discuss possible non-perturbative corrections to the answer. We set up analogous calculations for some theories with matter.
spellingShingle Budzik, K
Gaiotto, D
Kulp, J
Williams, BR
Wu, J
Yu, M
Semi-chiral operators in 4d N = 1 gauge theories
title Semi-chiral operators in 4d N = 1 gauge theories
title_full Semi-chiral operators in 4d N = 1 gauge theories
title_fullStr Semi-chiral operators in 4d N = 1 gauge theories
title_full_unstemmed Semi-chiral operators in 4d N = 1 gauge theories
title_short Semi-chiral operators in 4d N = 1 gauge theories
title_sort semi chiral operators in 4d n 1 gauge theories
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AT gaiottod semichiraloperatorsin4dn1gaugetheories
AT kulpj semichiraloperatorsin4dn1gaugetheories
AT williamsbr semichiraloperatorsin4dn1gaugetheories
AT wuj semichiraloperatorsin4dn1gaugetheories
AT yum semichiraloperatorsin4dn1gaugetheories