Emerging Non-Anomalous Baryonic Symmetries in the AdS_5/CFT_4 Correspondence

TL;DR

This paper investigates the emergence of non-anomalous baryonic symmetries in the AdS_5/CFT_4 correspondence, analyzing their breaking, associated Goldstone bosons, and global strings through specific Calabi-Yau singularities and supergravity duals.

Contribution

It demonstrates the conditions under which non-anomalous baryonic symmetries emerge during RG flow and links these to critical B-field moduli in supergravity backgrounds.

Findings

Identification of critical B-field values for symmetry emergence

Confirmation of non-anomalous nature of the baryonic symmetries

Detection of Goldstone bosons and global strings in supergravity duals

Abstract

We study the breaking of baryonic symmetries in the AdS_5/CFT_4 correspondence for D3 branes at Calabi-Yau three-fold singularities. This leads, for particular VEVs, to the emergence of non-anomalous baryonic symmetries during the renormalization group flow. We claim that these VEVs correspond to critical values of the B-field moduli in the dual supergravity backgrounds. We study in detail the C^3/Z_3 orbifold, the cone over F_0 and the C^3/Z_5 orbifold. For the first two examples, we study the dual supergravity backgrounds that correspond to the breaking of the emerging baryonic symmetries and identify the expected Goldstone bosons and global strings in the infra-red. In doing so we confirm the claim that the emerging symmetries are indeed non-anomalous baryonic symmetries.