Backreacted T-folds and non-geometric regions in configuration space

TL;DR

This paper studies backreacted T-fold backgrounds in string theory, exploring their monodromies, non-geometric regions, and effects of space-dependent moduli, advancing understanding of non-geometric flux compactifications.

Contribution

It provides explicit backreacted T-fold solutions with flux, analyzes their monodromies, and discusses non-geometric regions in string configuration space.

Findings

Constructed backreacted T-fold solutions with flux

Analyzed monodromy domain walls and vortices

Identified non-geometric regions in string theory configuration space

Abstract

We provide the backreaction of the T-fold doubly T-dual to a background with NSNS three-form flux on a three-torus. We extend the backreacted T-fold to include cases with a flux localized in one out of three directions. We analyze the resulting monodromy domain walls and vortices. In these backgrounds, we give an analysis of the action of T-duality on observables like charges and Wilson surfaces. We analyze arguments for the existence of regions in the configuration space of second quantized string theory that cannot be reduced to geometry. Finally, by allowing for space-dependent moduli, we find a supergravity solution which is a T-fold with hyperbolic monodromies.