A network of hyperloops

Dec 19, 2022
24 pages
Published in:
  • JHEP 06 (2023) 111
  • Published: Jun 20, 2023
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Abstract: (Springer)
In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional N \mathcal{N} = 4 Chern-Simons-matter theory on S3^{3}. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in [1, 2] and [3], the total moduli spaces are closed under this formalism.
Note:
  • 23 pages, 2 figures
  • Chern-Simons Theories
  • Supersymmetric Gauge Theory
  • Wilson, ’t Hooft and Polyakov loops
  • Wilson loop: BPS
  • operator: BPS
  • dimension: 3
  • Wilson loop: supersymmetry
  • supercharge
  • moduli space
  • network