English

Supersymmetric Wilson loops in two dimensions and duality

High Energy Physics - Theory 2019-07-31 v3

Abstract

We classify bosonic N=(2,2)\mathcal{N}=(2,2) supersymmetric Wilson loops on arbitrary backgrounds with vector-like R-symmetry. These can be defined on any smooth contour and come in two forms which are universal across all backgrounds. We show that these Wilson loops, thanks to their cohomological properties, are all invariant under smooth deformations of their contour. At genus zero they can always be mapped to local operators and computed exactly with supersymmetric localisation. Finally, we find the precise map, under two-dimensional Seiberg-like dualities, of correlators of supersymmetric Wilson loops.

Keywords

Cite

@article{arxiv.1812.01315,
  title  = {Supersymmetric Wilson loops in two dimensions and duality},
  author = {Rodolfo Panerai and Matteo Poggi and Domenico Seminara},
  journal= {arXiv preprint arXiv:1812.01315},
  year   = {2019}
}

Comments

16 pages, 2 figures; v2: minor corrections, references added; v3: new section and appendix, references added, published version

R2 v1 2026-06-23T06:30:47.645Z