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

A bstract 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 i...

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Veröffentlicht in:The journal of high energy physics 2024-05, Vol.2024 (5), p.245
Hauptverfasser: Budzik, Kasia, Gaiotto, Davide, Kulp, Justin, Williams, Brian R., Wu, Jingxiang, Yu, Matthew
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creator Budzik, Kasia
Gaiotto, Davide
Kulp, Justin
Williams, Brian R.
Wu, Jingxiang
Yu, Matthew
description A bstract 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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subjects Classical and Quantum Gravitation
Classification
Elementary Particles
Gauge theory
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum numbers
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Yang-Mills theory
title Semi-chiral operators in 4d N = 1 gauge theories
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