Geometric and Non-Geometric Compactifications of IIB Supergravity

TL;DR

This paper explores both geometric and non-geometric compactifications of IIB supergravity, analyzing their gauge symmetries, symmetry breaking, and relations to F-Theory, providing new insights into supergravity reduction techniques.

Contribution

It introduces a unified analysis of geometric and non-geometric reductions of IIB supergravity, highlighting gauge symmetries with Lie algebroid structures and their relation to F-Theory.

Findings

Geometric reductions exhibit gauge symmetries with Lie algebroid structure.

Symmetry breaking patterns are analyzed for various compactifications.

Non-geometric S-duality twisted reductions relate to geometric F-Theory compactifications.

Abstract

Complimentary geometric and non-geometric consistent reductions of IIB supergravity are studied. The geometric reductions on the identified group manifold X are found to have a gauge symmetry with Lie algebroid structure, generalising that found in similar reductions of the Bosonic string theory and eleven-dimensional supergravity. Examples of such compactifications are considered and the symmetry breaking in each case is analysed. Complimentary to the reductions on X are the nine-dimensional S-duality twisted reductions considered in the second half of the paper. The general reduced theory is given and symmetry breaking is investigated. The non-geometric S-duality twisted reductions and their relation to geometric reductions of F-Theory on X is briefly discussed.