Gravity duals for defect quivers in the Veneziano limit

TL;DR

This paper constructs gravity duals for supersymmetric gauge theories with unquenched flavors on defect branes, providing insights into their geometry and behavior across energy scales in the Veneziano limit.

Contribution

It presents the first explicit gravity duals for defect quivers with unquenched flavors in the Veneziano limit, including solutions for massless and massive hypermultiplets.

Findings

Solutions are asymptotically anti de-Sitter.

Dilaton remains constant along the holographic coordinate.

Supergravity solutions are valid from IR to UV regimes.

Abstract

We construct gravity duals to supersymmetric gauge theories in the presence of unquenched flavor hypermultiplets in the fundamental representation of the gauge group living on the (1+1)-dimensional defect. This configuration is given by the intersection of two sets of D3-branes. Working in the Veneziano limit with large number of colors and flavors we are able to find a closed set of equations describing the dual geometry. We briefly discuss the corresponding solutions for massless flavors as well as in the small flavor limit of massive hypermultiplets. Interestingly, the 1/4-BPS supergravity solutions are generically only asymptotically anti de-Sitter, the dilaton does not vary with the holographic radial coordinate. This implies that the classical Type IIB supergravity solutions remain trustworthy descriptions for the gauge theories from the deep IR to the far UV.