Topological Objects in 5D Maxwell Einstein Supergravity

TL;DR

This paper demonstrates that in 5D N=2 supergravity, scalar hypersurfaces can have non-trivial topology, which could be useful for constructing domain wall solutions that confine gravity to four dimensions.

Contribution

It introduces the possibility of scalar hypersurfaces with non-trivial topology in 5D supergravity, expanding the understanding of geometric structures in these theories.

Findings

Scalar hypersurfaces with positive definite metric can have non-trivial topology.

Potential applications in constructing domain wall solutions that confine gravity.

Insights into the geometric structure of 5D supergravity models.

Abstract

In this letter is shown that it is possible to obtain scalar hypersurfaces in 5D N=2 SUGRA where the allowed regions with positive definite scalar metric have a non-trivial topology. This situation may aid in the construction of domain wall solutions which confine gravity to 4 dimensions.