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ID: 438059.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Extremal black holes and nilpotent orbits
Authors:Bossard, Guillaume
Name of Conference/Meeting:XVI International Congress on Mathematical Physics
Place of Conference/Meeting:Prague
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
2009-08-03
End Date of Conference/Meeting 
 (YYYY-MM-DD):
2009-08-08
Audience:Not Specified
Abstract / Description:The stationary solutions of a large variety of (super)gravity theories can be described within a non-linear sigma model G / H* coupled to Euclidean gravity in three-dimensions, for which G is a simple group and H* a non-compact real form of its maximal compact subgroup. The absence of naked singularities in four dimensions requires the G Noether charge in 3D to satisfy a characteristic equation that determines it in function of the mass, the NUT charge and the electro-magnetic charges of the solution. It follows that the Noether charge associated to extremal black holes must lie in a certain Lagrangian submanifold of a nilpotent orbit of G. Constructing a suitable parameterisation of this Lagrangian, we are able to determine the so-called `fake superpotential' that governs the radial dependency of the scalar fields.
Document Type:Talk at Event
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0910.0689
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