Gauge/Gravity Duals with Holomorphic Dilaton

TL;DR

This paper constructs supergravity solutions involving D7-branes and D3-branes with N=2 supersymmetry, analyzing their properties and gauge/gravity duality, especially in strong coupling regimes.

Contribution

It provides explicit supergravity solutions for D7/D3 systems with a nonconstant dilaton and explores their gauge theory duals, highlighting when IIA duals are necessary.

Findings

Supergravity solutions with warp factor, flux, and nonconstant dilaton are obtained.

Gauge and supergravity metrics on moduli space are consistent.

Supergravity curvature can be large even at strong coupling, indicating IIA duals are needed.

Abstract

We consider configurations of D7-branes and whole and fractional D3-branes with N=2 supersymmetry. On the supergravity side these have a warp factor, three-form flux and a nonconstant dilaton. We discuss general IIB solutions of this type and then obtain the specific solutions for the D7/D3 system. On the gauge side the D7-branes add matter in the fundamental representation of the D3-brane gauge theory. We find that the gauge and supergravity metrics on moduli space agree. However, in many cases the supergravity curvature is large even when the gauge theory is strongly coupled. In these cases we argue that the useful supergravity dual must be a IIA configuration.