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2D Seiberg-like dualities for orthogonal gauge groups

  • Hyungchul Kim
  • Sungjoon Kim
  • Jaemo ParkEmail author
Open Access
Regular Article - Theoretical Physics
  • 38 Downloads

Abstract

We consider the analogue of Seiberg duality for two-dimensional \( \mathcal{N} \) = (2, 2) gauge theory with orthogonal gauge groups and with fundamental chiral multiplets proposed by Hori. Following Hori, when we consider O(k) gauge group as the (semi)-direct product of SO(k) ⋉ Z2, we have to consider two kinds of the theories O±(k) depending on the orbifold action of Z2. 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

Duality in Gauge Field Theories Field Theories in Lower imensions Supersymmetric Gauge Theory 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Center of Mathematical Sciences and ApplicationsHarvard UniversityCambridgeU.S.A.
  2. 2.Jefferson Physical LaboratoryHarvard UniversityCambridgeU.S.A.
  3. 3.Device Solution Business, Samsung Electronics Co., LTDPyeongtaekKorea
  4. 4.Department of Physics, POSTECHPohangKorea

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