Meromorphic Flux Compactification

TL;DR

This paper constructs exact supersymmetric and non-supersymmetric flux compactification solutions in Type IIB string theory, demonstrating their properties, relations via U-duality, and analyzing stability and soft terms.

Contribution

It provides explicit supersymmetric and non-supersymmetric flux compactification solutions with detailed flux and brane configurations, advancing understanding of string vacua.

Findings

Three supersymmetric Minkowski solutions identified

Non-supersymmetric solution analyzed for stability

Flux and brane contributions satisfy tadpole and Bianchi constraints

Abstract

We present exact solutions of four-dimensional Einstein's equations related to Minkoswki vacuum constructed from Type IIB string theory with non-trivial fluxes. Following recent works, we study a non-trivial flux compactification on a fibered product by a four-dimensional torus and a two-dimensional sphere punctured by 5- and 7-branes. By considering only 3-form fluxes and the dilaton, as functions on the internal sphere coordinates, we show that these solutions correspond to a family of supersymmetric solutions constructed by the use of G-theory. Meromorphicity on functions constructed in terms of fluxes and warping factors guarantees that flux and 5-brane contributions to the scalar curvature vanish while fulfilling stringent constraints as tadpole cancellation and Bianchi identities. Different Einstein's solutions are shown to be related by U-dualities. We present three supersymmetric non-trivial Minkowski vacuum solutions and compute the corresponding soft terms. We also construct a non-supersymmetric solution and study its stability.