English

Emergent Global Symmetry from IR N-ality

High Energy Physics - Theory 2024-10-22 v3 Mathematical Physics math.MP

Abstract

We present a new family of IR dualities in three space-time dimensions with eight supercharges. In contrast to 3d mirror symmetry, these dualities map Coulomb branches to Coulomb branches and Higgs branches to Higgs branches in the deep IR. For a large class of quiver gauge theories with an emergent Coulomb branch global symmetry, one can construct a sequence of such dualities by step-wise implementing a set of quiver mutations. The duality sequence gives a set of quiver gauge theories which flow to the same IR fixed point - a phenomenon we refer to as IR N-ality. We show that this set of N-al quivers always contains a theory for which the rank of the IR Coulomb branch symmetry is manifest in the UV. For a special subclass of theories, the emergent symmetry algebra itself can be read off from the quiver description of the aforementioned theory.

Keywords

Cite

@article{arxiv.2307.02525,
  title  = {Emergent Global Symmetry from IR N-ality},
  author = {Anindya Dey},
  journal= {arXiv preprint arXiv:2307.02525},
  year   = {2024}
}

Comments

v1: 5+3 pages, color-coded figures. Comments welcome, v2: Some typos fixed, v3: minor edits and references added

R2 v1 2026-06-28T11:23:01.528Z