English

$\mathcal{N}=3$ Harmonic Super-Wilson Loop

High Energy Physics - Theory 2018-06-27 v2

Abstract

We study supersymmetric Wilson loops in d=3d=3, N=3\mathcal{N}=3 harmonic superspace, leading to a construction of a supersymmetrized generalization of the 13\frac{1}{3}-BPS Wilson loop for N=3\mathcal{N}=3 gauge theories. This also includes a generalization of the 16\frac{1}{6}-BPS loop for ABJM theory. We perform a 'one-loop' computation of the vacuum expectation value of this operator directly in superspace and compare with the known N=2\mathcal{N}=2 localization results at large NN. This comparison also lets us identify certain fermionic contributions that do not receive any subleading corrections.

Keywords

Cite

@article{arxiv.1803.05612,
  title  = {$\mathcal{N}=3$ Harmonic Super-Wilson Loop},
  author = {Yu-tin Huang and Dharmesh Jain},
  journal= {arXiv preprint arXiv:1803.05612},
  year   = {2018}
}

Comments

1+13+3 pages. v2: Minor improvements to text (published version)

R2 v1 2026-06-23T00:53:49.120Z