On Orbifold Compactification of N=2 Supergravity in Five Dimensions

TL;DR

This paper investigates the compactification of five-dimensional N=2 supergravity on an orbifold, deriving the resulting four-dimensional N=1 supergravity with specific scalar manifolds.

Contribution

It provides a detailed derivation of the 4D effective supergravity from 5D N=2 supergravity compactified on an orbifold, including arbitrary vector multiplet scalar manifolds.

Findings

Derived the bosonic and fermionic sectors of the 4D effective supergravity.

Extended the understanding of scalar manifolds in orbifold compactifications.

Presented explicit forms for the hypermultiplet scalar manifold.

Abstract

We study compactification of five dimensional ungauged N=2 supergravity coupled to vector- and hypermultiplets on orbifold $S^1/Z_2$. In the model the vector multiplets scalar manifold is arbitrary while the hypermultiplet scalars span a generalized self dual Einstein manifold constructed by Calderbank and Pedersen. The bosonic and the fermionic sector of the low energy effective N=1 supergravity in four dimensions are derived.