Superfield description of gravitational couplings in generic 5D supergravity

TL;DR

This paper develops a comprehensive superfield framework for 5D supergravity coupled with matter multiplets, clarifying gravitational interactions and enabling quantum calculations while preserving off-shell N=1 supersymmetry.

Contribution

It completes the superfield action for 5D supergravity with matter, detailing gravitational couplings at linear order and including Z_2-odd superfields for compactified dimensions.

Findings

Provides explicit superfield formulation for gravitational couplings.

Clarifies the role of Z_2-odd superfields in compactified dimensions.

Facilitates quantum effect calculations in 5D supergravity.

Abstract

We complete the N=1 superfield action for the generic system of vector multiplets and hypermultiplets coupled to 5D supergravity, which is based on the superconformal formulation. Especially we clarify the gravitational couplings to the bulk matters at linear order in the gravitational superfields. They consist of four N=1 superfields, two of which are Z_2-odd when the fifth dimension is compactified on S^1/Z_2. This formulation provides a powerful tool to calculate quantum effects, keeping the N=1 off-shell structure.