Off-shell D=5, N=2 Riemann Squared Supergravity

TL;DR

This paper constructs a new off-shell invariant in five-dimensional N=2 supergravity that includes a Riemann tensor squared term and a gravitational Chern-Simons term, using advanced mapping techniques and dimensional reduction.

Contribution

It introduces a novel off-shell invariant in D=5, N=2 supergravity with Riemann squared and Chern-Simons terms, derived via mapping from Yang-Mills and six-dimensional theories.

Findings

New off-shell invariant with Riemann squared term

Inclusion of gravitational Chern-Simons term

Methodology using mapping and circle reduction

Abstract

We construct a new off-shell invariant in N=2, D=5 supergravity whose leading term is the square of the Riemann tensor. It contains a gravitational Chern-Simons term involving the vector field that belongs to the supergravity multiplet. The action is obtained by mapping the transformation rules of a spin connection with bosonic torsion and a set of curvatures to the fields of the Yang-Mills multiplet with gauge group SO(4,1). We also employ the circle reduction of an action that describes locally supersymmetric Yang-Mills theory in six dimensions.