Roles of Z_2-odd N=1 multiplets in off-shell dimensional reduction of 5D supergravity

TL;DR

This paper explores how Z_2-odd N=1 multiplets influence the off-shell dimensional reduction of 5D supergravity on S^1/Z_2, clarifying their role in constraining and extracting zero modes in a background-independent manner.

Contribution

It provides a detailed analysis of the role of Z_2-odd multiplets in off-shell dimensional reduction, applicable to various models and emphasizing a background-independent approach.

Findings

Z_2-odd multiplets impose constraints on Z_2-even multiplets.

Zero modes are extracted via equations of motion of Z_2-odd multiplets.

The method is applicable to a wide class of models.

Abstract

We discuss the dimensional reduction of five-dimensional supergravity compactified on S^1/Z_2 keeping the N=1 off-shell structure. Especially we clarify the roles of the Z_2-odd N=1 multiplets in such an off-shell dimensional reduction. Their equations of motion provide constraints on the Z_2-even multiplets and extract the zero modes from the latter. The procedure can be applied to wide range of models and performed in a background-independent way. We demonstrate it in some specific models.