English

Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities

High Energy Physics - Theory 2016-06-29 v1

Abstract

One interesting feature of 3d N=2\mathcal{N}=2 theories is that gauge-invariant operators can decouple by strong-coupling effects, leading to emergent flavor symmetries in the IR. The details of such decoupling, however, depends very delicately on the gauge group and matter content of the theory. We here systematically study the IR behavior of 3d N=2\mathcal{N}=2 SQCD with NfN_f flavors, for gauge groups SU(Nc),USp(2Nc)\mathrm{SU}(N_c), \mathrm{USp}(2N_c) and SO(Nc)\mathrm{SO}(N_c). We apply a combination of analytical and numerical methods, both to small values of Nc,NfN_c, N_f and also to the Veneziano limit, where NcN_c and NfN_f are taken to be large with their ratio Nf/NcN_f/N_c fixed. We highlight the role of the monopole operators and the interplay with Aharony-type dualities. We also discuss the effect of gauging continuous as well as discrete flavor symmetries, and the implications of our analysis to the classification of 1/41/4--BPS co-dimension 2 defects of 6d (2,0)(2,0) theories.

Keywords

Cite

@article{arxiv.1603.02283,
  title  = {Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities},
  author = {Jeongseog Lee and Masahito Yamazaki},
  journal= {arXiv preprint arXiv:1603.02283},
  year   = {2016}
}
R2 v1 2026-06-22T13:05:45.861Z