Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories

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 $S^1$. 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.

arXiv comment31 pages, 4 figures; v2: minor changes, published version in JHEP

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• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit