Five-dimensional vector-coupled supergravity on a manifold with boundary

TL;DR

This paper analyzes the gauge and supersymmetry invariance issues in five-dimensional supergravity theories with boundaries, focusing on the role of boundary matter and conditions to restore invariance affected by Chern-Simons terms.

Contribution

It provides a detailed examination of boundary conditions and matter content necessary for gauge and supersymmetry invariance in five-dimensional supergravity with boundaries.

Findings

Boundary matter content influences gauge invariance.

Boundary conditions are crucial for supersymmetry preservation.

Inflow mechanisms depend on the symmetric tensor structure.

Abstract

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an "inflow" governed by the rank-3 symmetric tensor that defines the five-dimensional theories. We discuss the requirements that invariance of the action imposes on new matter content and boundary conditions.