AdS/CFT Duality and the Higgs Branch of ${\cal N}=2$ SYM

TL;DR

This paper constructs the AdS dual of the Higgs branch in a specific {\

Contribution

It introduces new constraints on the non-abelian Dirac-Born-Infeld action derived from holography and non-renormalization properties.

Findings

Derived the AdS description of the Higgs branch.

Established constraints on non-abelian D-brane couplings.

Linked holography with non-renormalization to inform D-brane effective actions.

Abstract

We construct the AdS description of the Higgs branch of the finite {\cal N}=2 Sp(N) gauge theory with one antisymmetric hypermultiplet and four fundamental hypermultiplets. Holography, combined with the non-renormalization of the metric on the Higgs branch, leads to novel constraints on unknown terms in the non-abelian Dirac-Born-Infeld action. These terms include non-minimal couplings of D-branes to bulk supergravity fields.