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...
Main Authors: | , , , , , |
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Format: | Journal article |
Language: | English |
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Springer
2024
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_version_ | 1826313629077602304 |
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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. |
first_indexed | 2024-09-25T04:17:57Z |
format | Journal article |
id | oxford-uuid:db6ac625-ddcc-4f12-91f7-abaf1aec5dd0 |
institution | University of Oxford |
language | English |
last_indexed | 2024-09-25T04:17:57Z |
publishDate | 2024 |
publisher | Springer |
record_format | dspace |
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 |
work_keys_str_mv | AT budzikk semichiraloperatorsin4dn1gaugetheories AT gaiottod semichiraloperatorsin4dn1gaugetheories AT kulpj semichiraloperatorsin4dn1gaugetheories AT williamsbr semichiraloperatorsin4dn1gaugetheories AT wuj semichiraloperatorsin4dn1gaugetheories AT yum semichiraloperatorsin4dn1gaugetheories |