The Radion in 5D Conformal SUGRA: Superspace Action

TL;DR

This paper introduces a new superfield formalism for 5D conformal supergravity, embedding the radion in superfields, and provides superspace actions for gauge and hypermultiplet sectors, facilitating applications like the RS solution.

Contribution

It develops a novel superfield formalism in 5D conformal supergravity with an $S^1/Z_2$ orbifold, including radion embedding and superspace actions, advancing the theoretical framework.

Findings

Radion embedded in chiral and general superfields.

Superspace gauge action of Chern-Simons type.

Application to the Randall-Sundrum (RS) solution.

Abstract

We shortly review our new superfield formalism in the framework of Fujita, Kugo, Ohashi 5D conformal supergravity, in particular with an $S^1/Z_2$ orbifold. The radion of the fifth dimension is embedded in two related superfields, a chiral and a general multiplet and is linked to the radion superfield of rigid SUSY. The superspace action of the gauge sector is of the Chern-Simons type. We also present the superspace action for hypermultiplets and discuss the role of compensators. The presented formalism should be very useful for applications. We demonstrate this for obtaining the RS solution.