Constrained Euler-Poincare Supergravity in Five Dimensions

TL;DR

This paper extends five-dimensional N=2 supergravity by incorporating a dimensionally continued Euler-Poincare form, revealing new interaction types that could enhance local supersymmetry.

Contribution

It introduces a novel generalization of supergravity with Euler-Poincare terms and analyzes the resulting equations to identify potential supersymmetry improvements.

Findings

New interaction terms compatible with local supersymmetry

Explicit solutions for Lagrange multipliers enforcing torsion constraints

Modified Einstein and Rarita-Schwinger equations

Abstract

The N=2 supergravity action in D=5 is generalized by the inclusion of dimensionally continued Euler-Poincare form. The spacetime torsion implied by the Einsteinean supergravity is imposed by a Lagrangian constraint and resulting variational equations are solved for the Lagrange multipliers. The corresponding terms in the Einstein and Rarita-Schwinger field equations are determined. These indicate new types of interactions that could be included in the action to achieve local supersymmetry.