On supersymmetric solutions of type IIB supergravity with general fluxes

TL;DR

This paper introduces a new approach to find supersymmetric solutions in type IIB supergravity with general fluxes, removing previous constraints and exploring geometrical structures using SU(2) structures.

Contribution

It proposes a general spinor Ansatz that relaxes the ISD flux constraint, enabling the study of more general supersymmetric configurations with SU(2) structures.

Findings

Removed the ISD flux constraint in supersymmetric solutions.

Presented an example with nonvanishing (0,3) flux.

Linked geometrical properties to SU(2) structures.

Abstract

We propose a general spinor Ansatz to find supersymmetric configurations preserving 4-dimensional Poincare' invariance in the context of type IIB supergravity in the presence of general fluxes. We show how this removes the imaginary-selfduality (ISD) constraint on the 3-form flux and present a simple example with nonvanishing (0,3) flux. To characterize the geometrical properties of such configurations we will use the tool of SU(2) structures on the internal space, which are naturally linked to the form of the Ansatz we propose.