BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry

TL;DR

This paper extends previous work on BPS states in type IIB supergravity by incorporating a U(1) gauge field, leading to more general solutions characterized by a Kahler structure and a Monge-Ampere equation.

Contribution

It introduces a U(1) gauge field into the ansatz, allowing for a broader class of supersymmetric solutions with variable Killing spinor charge.

Findings

Identification of a four-dimensional Kahler structure.

Derivation of a Monge-Ampere type equation.

Introduction of two scalar parameters, including the Kahler potential.

Abstract

We present an extension of our construction (hep-th/0606199) exhibiting $SO(4)\times SO(2)$ symmetry. We extend the previously presented ansatz by introducing a U(1) gauge field. The presence of the gauge field allows for more general values of the Killing spinor U(1) charge. One more time we identify a four dimensional Kahler structure and a Monge-Ampere type of equation parametrized by the U(1) Killing spinor charge. In addition we identify 2 scalars that parametrize the supersymmetric solutions, one of which is the Kahler potential.