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

TL;DR

This paper demonstrates spontaneous baryon number symmetry breaking in certain three-dimensional supersymmetric theories, revealing a Goldstone mode and drawing parallels to higher-dimensional models like Klebanov-Strassler.

Contribution

It introduces a new class of lower-dimensional models exhibiting baryon symmetry breaking, with detailed analysis of their gravity duals and symmetry-breaking mechanisms.

Findings

Baryon symmetry is spontaneously broken in the models.

A Goldstone mode associated with the breaking is identified.

The models share properties with Klebanov-Strassler, including a cascade.

Abstract

We show that baryon number symmetry is spontaneously broken in a class of three-dimensional, ${\cal N}=1$ 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.