Notes on SU(3) Structures in Type IIB Supergravity

TL;DR

This paper analyzes solutions of type IIB supergravity with SU(3) structures, deriving relations among fields, and constructs specific solutions relevant for gauge theory duals involving (p,q)5-branes and D3-branes.

Contribution

It provides explicit relations for supersymmetric solutions with SU(3) structures and constructs supergravity backgrounds for bound states of (p,q)5-branes and D3-branes.

Findings

Derived relations among bosonic fields from supersymmetry variations.

Explicit supergravity solutions for (p,q)5-brane and D3-brane bound states.

Simplified relations for gauge theory RG flow duals.

Abstract

We study solutions of type IIB supergravity with an SU(3) structure group and four dimensional Poincare invariance and present relations among the bosonic fields which follow from the supersymmetry variations. We make explicit some results which also follow from the more general case of an SU(2) structure and give some short comments applicable to general supersymmetric solutions. We also provide simplified relations appropriate for duals of gauge theory renormalization group flows, and use these to derive the supergravity solution for a bound state of (p,q)5-branes and D3-branes.