English

2D Seiberg-like dualities for orthogonal gauge groups

High Energy Physics - Theory 2019-07-02 v4

Abstract

We consider the analogue of Seiberg duality for two-dimensional N=(2,2)N=(2,2) gauge theory with orthogonal gauge groups and with fundamental chiral multiplets proposed by Hori. Following Hori, when we consider O(N)O(N) gauge group as the (semi)-direct product of SO(N)Z2SO(N) \ltimes Z_2, we have to consider two kinds of the theories O(N)±O(N)_{\pm} depending on the orbifold action of Z2Z_2. We give the evidences for the proposed dualities by working out the elliptic genus of dual pair. The matching of the elliptic genus is worked out perfectly for the proposed dualities.

Keywords

Cite

@article{arxiv.1710.06069,
  title  = {2D Seiberg-like dualities for orthogonal gauge groups},
  author = {Hyungchul Kim and Sugjoon Kim and Jaemo Park},
  journal= {arXiv preprint arXiv:1710.06069},
  year   = {2019}
}

Comments

74 pages, analytic proof of equality of elliptic genus of simple dual pairs extended to simple cases of $SO(n), O_{\pm}(n)$ with $n=3,4$

R2 v1 2026-06-22T22:16:15.051Z