New supersymmetric flux vacua of type II string theory and Generalized Complex Geometry

TL;DR

This paper explores new supersymmetric flux vacua in type II string theory using Generalized Complex Geometry, enabling the discovery of solutions not obtainable through traditional T-duality methods.

Contribution

It introduces a reformulation of flux vacua in terms of Generalized Complex Geometry, allowing for the construction of novel solutions with intermediate SU(2) structure.

Findings

Found new solutions with intermediate SU(2) structure.

Demonstrated the utility of Generalized Complex Geometry in flux compactifications.

Identified solutions not accessible via T-duality from warped T^6.

Abstract

We study Minkowski supersymmetric flux vacua of type II string theory. Based on the work by M. Grana, R. Minasian, M. Petrini and A. Tomasiello, we briefly explain how to reformulate things in terms of Generalized Complex Geometry, which appears to be a natural framework for these compactifications. In particular, it provides a mathematical characterization of the internal manifold, and one is then able to find new solutions, which cannot be constructed as usual via T-dualities from a warped T^6 solution. Furthermore, we discuss how, thanks to a specific change of variables, one can ease the resolution of the orientifold projection constraints pointed out by P. Koerber and D. Tsimpis. One is then able to find new solutions with intermediate SU(2) structure.