Baryonic symmetries in AdS_4/CFT_3: an overview

TL;DR

This paper reviews baryonic symmetries in AdS_4/CFT_3, explaining their gravity duals and discussing Z-minimization in the HVZ theory, highlighting their role in classifying gauge theory spectra.

Contribution

It provides a comprehensive overview of baryonic symmetries in AdS_4/CFT_3, clarifying previous arguments and exploring Z-minimization in the HVZ theory.

Findings

Clarified the role of baryonic symmetries in AdS_4/CFT_3.

Reviewed the gravity duals arising from KK reduction.

Studied Z-minimization in the HVZ theory.

Abstract

Global symmetries play an important role in classifying the spectrum of a gauge theory. In the context of the AdS/CFT duality, global baryon-like symmetries are specially interesting. In the gravity side, they correspond to vector fields in AdS arising from KK reduction of the SUGRA p-form potentials. We concentrate on the AdS_4/CFT_3 case, which presents very interesting characteristic features. Following arXiv:1004.2045, we review aspects of such symmetries, clarifying along the way some arguments in that reference. As a byproduct, and in a slightly unrelated context, we also study Z-minimization, focusing in the HVZ theory.