Spontaneous breaking of baryon symmetry in strongly coupled three-dimensional theories

Abstract

We show that baryon number symmetry is spontaneously broken in a class of three-dimensional, $\mathcal{N}=1$ supersymmetric theories with a discrete mass spectrum. These models serve as lower-dimensional, less-supersymmetric analogs of the Klebanov-Strassler solution, sharing properties such as the presence of a cascade. The spontaneous symmetry breaking is evidenced by the appearance of a Goldstone mode, which corresponds to a vector fluctuation in the gravity dual.

14 pages, 2 figures. v2 refs. added, minor typos corrected