Supergravity backgrounds corresponding to D7 branes wrapped on Kahler manifolds

TL;DR

This paper constructs supergravity solutions for D7 branes wrapped on Kahler manifolds with U(1)_R twist, preserving some supersymmetry, and explores their geometric and field theory properties.

Contribution

It introduces new 1/4-BPS supergravity backgrounds with D7 branes wrapped on curved Kahler manifolds, extending known flat brane solutions.

Findings

Solutions exhibit singularities at finite radius

D7 branes wrapped on T^2 with non-constant curvature

Field theories have N=1 supersymmetry in 6 and 4 dimensions

Abstract

We consider supergravity solutions corresponding to D7 branes wrapped on Kahler manifolds with a U(1)_R twist such that some supersymmetry is preserved. We find a class of 1/4-BPS backgrounds where a D7-brane is wrapped on a T^2 torus with a metric of non-constant curvature. Similarly to the flat D7-brane case, the solution has a singularity at finite radius. We also discuss the case where the D7-brane is wrapped on a 4-dimensional non-compact manifold. The field theories on the D7 brane have N=1 supersymmetry in 6 and 4 dimensions respectively.