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arXiv · 1809.03670

Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories

Kazuma Shimizu·Seiji Terashima
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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.

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Kazuma Shimizu, Seiji Terashima. 2018-11-13. Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories. https://doi.org/10.1007/jhep11(2018)064

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