English

A tale of exceptional 3d dualities

High Energy Physics - Theory 2019-05-01 v1

Abstract

We consider interesting Seiberg dualities for UspUsp gauge theories with an antisymmetric, 88 fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses, reaching a plethora of N ⁣= ⁣2\mathcal{N}\!=\!2 dualities for U(N)U(N) and Usp(2N)Usp(2N) gauge theories, possibly with monopole superpotentials and Chern-Simons interactions. Special cases of these "exceptional dualities" are: supersymmetry enhancement dualities, "duality appetizers" and many known dualities relating rank-11 gauge groups. The 4d4d N ⁣= ⁣1\mathcal{N}\!=\!1 UspUsp dualities provide a unified perspective on many curious phenomena of 3d3d and 4d4d gauge theories with four supercharges. Finally, we propose a free mirror for A2NA_{2N} Argyres-Douglas, with its related adjoint-Usp(2N)Usp(2N) duality, and we construct a mirror for adjoint-U(N)U(N), with an arbitrary number flavors and zero superpotential.

Keywords

Cite

@article{arxiv.1809.03925,
  title  = {A tale of exceptional 3d dualities},
  author = {Sergio Benvenuti},
  journal= {arXiv preprint arXiv:1809.03925},
  year   = {2019}
}

Comments

48 pages

R2 v1 2026-06-23T04:02:29.456Z