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Journal of High Energy Physics

, 2018:64 | Cite as

Supersymmetry breaking phase in three dimensional large N gauge theories

  • Kazuma Shimizu
  • Seiji Terashima
Open Access
Regular Article - Theoretical Physics
  • 10 Downloads

Abstract

Three dimensional supersymmetric gauge theories are often in a gapped phase, in which SUSY is spontaneously broken, if all the matter fields are massive and decoupled in the low energy. We study this phase in the large N limit using the localization technique for the theory on the ellipsoid, which interpolates the round three sphere and the flat space compactified on S1. We find a large N saddle point solution for the gauge theory with some massive matter fields. This solution gives a vanishing (generalized) Polyakov loop in the flat space limit, thus, it corresponds to the confining phase at the leading order in the 1/N expansion.

Keywords

Supersymmetric Gauge Theory Spontaneous Symmetry Breaking Confinement 1/N Expansion 

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) 2018

Authors and Affiliations

  1. 1.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan

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