Baryon Charges in 4d Superconformal Field Theories and Their AdS Duals

TL;DR

This paper develops a topological method to compute baryonic charges in 4d N=1 superconformal field theories and explores their geometric duals in AdS_5 x H_5, revealing new links between quiver nodes and divisors.

Contribution

It introduces a topological prescription for baryonic charge calculation and uncovers a novel correspondence between quiver nodes and geometric divisors.

Findings

Charge computation uses intersection numbers on H_5.

Identifies a new link between quiver nodes and divisors.

Discusses connections between flavor symmetries and gauge enhancements.

Abstract

We consider general aspects of the realization of R and non-R flavor symmetries in the AdS_5 x H_5 dual of 4d N=1 superconformal field theories. We find a general prescription for computing the charges under these symmetries for baryonic operators, which uses only topological information (intersection numbers) on H_5. We find and discuss a new correspondence between the nodes of the SCFT quiver diagrams and certain divisors in the associated geometry. We also discuss connections between the non-R flavor symmetries and the enhanced gauge symmetries in non-conformal theories obtained by adding wrapped branes.