Consistent dimensional reduction of five-dimensional off-shell supergravity

TL;DR

This paper explores two consistent methods for reducing five-dimensional off-shell supergravity to four dimensions, focusing on the treatment of superfields and examining their validity.

Contribution

It introduces and compares two approaches for dimensional reduction of off-shell supergravity, clarifying their differences and consistency.

Findings

Two complementary reduction methods are detailed.

The treatment of compensator and radion superfields differs.

Both approaches are shown to be consistent.

Abstract

There are some points to notice in the dimensional reduction of the off-shell supergravity. We discuss a consistent way of the dimensional reduction of five-dimensional off-shell supergravity compactified on S^1/Z_2. There are two approaches to the four-dimensional effective action, which are complementary to each other. Their essential difference is the treatment of the compensator and the radion superfields. We explain these approaches in detail and examine their consistency. Comments on the related works are also provided.