Three-Form Flux with N=2 Supersymmetry on AdS_5 x S^5

TL;DR

This paper derives the specific form of three-form flux perturbations in type IIB supergravity that preserve N=2 supersymmetry on the AdS_5 x S^5 background, extending previous N=1 results.

Contribution

It provides the explicit form of three-form flux perturbations compatible with N=2 supersymmetry, restricting the holomorphic function to quadratic form in transverse coordinates.

Findings

Derived the general three-form flux perturbation preserving N=2 supersymmetry.

Restricted the holomorphic function to quadratic form in transverse coordinates.

Extended previous N=1 flux solutions to N=2 supersymmetric case.

Abstract

In the context of the AdS/CFT correspondence the general form of a three-form flux perturbation to the AdS_5 x S^5 solution in the type IIB supergravity which preserves N=2 supersymmetry is obtained. The arbitrary holomorphic function appearing in the N=1 case studied by Grana and Polchinski is restricted to a quadratic function of the coordinates transverse to the D3-branes.