Supergravity on R4 x S1/Z2 and singular Calabi-Yaus

TL;DR

This paper investigates the singularities in the moduli space of five-dimensional supergravity theories compactified on R4 x S1/Z2, focusing on models derived from Calabi-Yau three-folds with wrapped membranes.

Contribution

It analyzes the nature of moduli space singularities in supergravity models from Calabi-Yau compactifications, highlighting ambiguities in non-singular embeddings.

Findings

Identifies the types of singularities in moduli space.

Connects singularities to Calabi-Yau geometry and wrapped membranes.

Provides insights into the structure of supergravity on orbifold backgrounds.

Abstract

We discuss the moduli space singularities that are generally present in five-dimensional vector-coupled supergravity on a spactime of the form R4 x S1/Z2, with vector fields surviving on the Z2 fixed planes. The framework of supergravity is necessarily ambiguous when it comes to the non-singular embedding theory, so we focus on those models coming from Calabi-Yau three-folds with wrapped membranes.