Supersymmetry and Gravitational Duality
arXiv:0810.4999 · doi:10.1103/PhysRevD.79.125001
Abstract
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.
23 pages, no figures; v2: sign typos fixed in Section 6; v3: version to appear in PRD. Improved discussion in section 5 (on the surface NUT charges) and in section 6 (on the superalgebra)
References in corpus (22)
- The Dynamics of General Relativity
- Unity of Superstring Dualities
- Covariant theory of asymptotic symmetries, conservation laws and central charges
- Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
- Surface charge algebra in gauge theories and thermodynamic integrability
- Pseudo-Supersymmetric Quantum Mechanics and Isospectral Pseudo-Hermi tian Hamiltonians
- Duality in linearized gravity
- Gravitational Duality, Branes and Charges
- Supersymmetry of topological Kerr-Newmann-Taub-NUT-aDS spacetimes
- Supersymmetry and Stationary Solutions in Dilaton-Axion Gravity
- Monopoles for Gravitation and for Higher Spin Fields
- Gravitational Duality Transformations on (A)dS4
- Central Extensions of Supersymmetry in Four and Three Dimensions
- Gravitational multi-NUT solitons, Komar masses and charges
- Free Spin 2 Duality Invariance Cannot be Extended to GR
- BPS States with Extra Supersymmetry
- Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
- Dual Gravity and Matter
- Boosting Taub-NUT to a BPS NUT-wave
- Higher Spin Gauge Field Theories. Aspects of dualities and interactions
- Supersymmetry and cosmic censorship
- Transformation of Black-Hole Hair under Duality and Supersymmetry
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- Why not a di-NUT? or Gravitational duality and rotating solutions
- Asymptotic Flatness, Taub-NUT, and Variational Principle
- Quantization Conditions and the Double Copy
- Boosting Taub-NUT to a BPS NUT-wave
- Supersymmetric electric-magnetic duality as a manifest symmetry of the action for super-Maxwell theory and linearized supergravity
- Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
- Gravity, Dual Gravity and A1+++
- Lessons from the Vacuum Structure of 4d N=2 Supergravity
- Conserved asymptotic charges for any massless particle
- An alternative to the Simon tensor
- Hidden Supersymmetry in Dirac Fermion Quasinormal Modes of Black Holes
- The NUT in the N=2 Superalgebra
- Gravitational duality in General Relativity and Supergravity theories
- Clumping and quantum order: Quantum gravitational dynamics of NUT charge
- Rigorous Formulation of Duality in Gravitational Theories
- Gravielectric and gravimagnetic fluxes in nutty black holes
- Electric and magnetic aspects of gravitational theories