Journal of High Energy Physics (May 2024)

Semi-chiral operators in 4d N $$ \mathcal{N} $$ = 1 gauge theories

  • Kasia Budzik,
  • Davide Gaiotto,
  • Justin Kulp,
  • Brian R. Williams,
  • Jingxiang Wu,
  • Matthew Yu

DOI
https://doi.org/10.1007/JHEP05(2024)245
Journal volume & issue
Vol. 2024, no. 5
pp. 1 – 70

Abstract

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Abstract We discuss the properties of quarter-BPS local operators in four-dimensional N $$ \mathcal{N} $$ = 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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