The NUT in the N=2 Superalgebra

TL;DR

This paper explores how N=2 supergravity's supersymmetry algebra extension incorporates the NUT charge in a duality-covariant manner, linking BPS states, Killing superalgebras, and covariant charge formulations.

Contribution

It introduces a covariant description of the NUT charge within the N=2 superalgebra framework, extending the Nester-Witten form to include NUT charge in a duality-invariant way.

Findings

Covariant formulation of NUT charge in N=2 supergravity

Embedding of BPS states in flat space solutions

Generalization of Nester-Witten form to include NUT charge

Abstract

We study how the supersymmetry algebra extension of N=2 supergravity with central charges describes the NUT charge in a duality-covariant way. The stationary BPS states of N=2 supergravity can be embedded in the flat space solution of the timelike reduced theory. Upon reduction, the Killing superalgebra extension and the global superalgebra of charges are described covariantly under the coset structure of the three-dimensional theory. The integral of the Nester-Witten form given by Gibbons and Hull for N=2 has a covariant generalization that includes the NUT charge.