Supersymmetry and Gravitational Duality

Details Supersymmetry and Gravitational Duality Supersymmetry and Gravitational Duality

2008-10-28

arxiv.org/abs/0810.4999v3

Phys.Rev.D79:125001,2009

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures; v2: sign typos fixed in Section 6; v3: version to appear in PRD. Improved discussion in section 5 (on th

Scientific paper

10.1103/PhysRevD.79.125001

We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides evidence that the dual magnetic momenta necessarily have to appear in the supersymmetry algebra. The existence of such a modification is further supported using an approach based on the Nester form. In the process, we find new expressions for the dual magnetic momenta, including the NUT charge. The same expressions are then rederived using gravitational duality.

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