Generalized Flux Vacua

TL;DR

This paper explores a broad class of flux compactifications in type II string theory on a T^6/Z_2 orientifold, revealing infinite families of supersymmetric vacua with stabilized moduli and analyzing their distribution.

Contribution

It introduces a comprehensive framework for discrete deformations including geometric and nongeometric fluxes, leading to new infinite families of stable vacua in string compactifications.

Findings

Found parametrically controllable infinite supersymmetric vacua.

Discovered an infinite number of solutions within finite parameter ranges.

Analyzed the distribution of solutions in the moduli space.

Abstract

We consider type II string theory compactified on a symmetric T^6/Z_2 orientifold. We study a general class of discrete deformations of the resulting four-dimensional supergravity theory, including gaugings arising from geometric and "nongeometric'' fluxes, as well as the usual R-R and NS-NS fluxes. Solving the equations of motion associated with the resulting N = 1 superpotential, we find parametrically controllable infinite families of supersymmetric vacua with all moduli stabilized. We also describe some aspects of the distribution of generic solutions to the SUSY equations of motion for this model, and note in particular the existence of an apparently infinite number of solutions in a finite range of the parameter space of the four-dimensional effective theory.