Off-Shell Formulation of Supergravity on Orbifold

TL;DR

This paper develops an off-shell supergravity formulation on orbifolds, extending previous on-shell models by incorporating auxiliary fields, and explores the relationship between bulk cosmological constants and brane tensions.

Contribution

It provides a new off-shell formulation of supergravity on orbifolds, enabling more flexible analysis of boundary conditions and brane-world scenarios.

Findings

Off-shell supergravity formulation on orbifolds is established.

Relations between bulk cosmological constant and brane tensions are analyzed.

The formalism extends previous on-shell models to include auxiliary fields.

Abstract

An off-shell formulation is given for the ``supersymmetry in singular spaces'' which has recently been developed in an on-shell formalism by Bergshoeff, Kallosh and Van Proeyen using supersymmetry singlet `coupling constant' field and 4-form multiplier field in five-dimensional space-time. We present this formulation for a general supergravity-Yang-Mills-hypermultiplet coupled system compactified on an orbifold $S^1/Z_2$. Relations between the bulk cosmological constant and brane tensions of the boundary planes are discussed.