Gauged Kaluza-Klein AdS Pseudo-supergravity

TL;DR

This paper develops a pseudo-supergravity extension of Kaluza-Klein theory, incorporating fermionic partners and gauging mechanisms, resulting in a theory with AdS vacua applicable in arbitrary dimensions.

Contribution

It introduces a novel pseudo-supergravity framework for Kaluza-Klein theories with gauged U(1) symmetry, extending the existence of gauged AdS pseudo-supergravities beyond seven dimensions.

Findings

The theory includes pseudo-gravitino and pseudo-dilatino fields.

Gauging the U(1) symmetry generates a scalar potential with an AdS maximum.

Gauged AdS pseudo-supergravities are possible in arbitrary dimensions.

Abstract

We obtain the pseudo-supergravity extension of the D-dimensional Kaluza-Klein theory, which is the circle reduction of pure gravity in D+1 dimensions. The fermionic partners are pseudo-gravitino and pseudo-dilatino. The full Lagrangian is invariant under the pseudo-supersymmetric transformation, up to quadratic order in fermion fields. We find that the theory possesses a U(1) global symmetry that can be gauged so that all the fermions are charged under the Kaluza-Klein vector. The gauging process generates a scalar potential that has a maximum, leading to the AdS vacuum. Whist the highest dimension for gauged AdS supergravity is seven, our gauged AdS pseudo-supergravities can exist in arbitrary dimensions.