In the context of N = 8 supergravity we consider BPS black holes that preserve 1/8 supersymmetry. It was shown in a previous paper that, module U-duality transformations of E-7(7), the most general solution of this type can be reduced to a black hole of the ST U model. In this paper we analyse this solution in detail, considering in particular its embedding in one of the possible special Kahler manifolds compatible with the consistent truncations to N = 2 supergravity, this manifold being the moduli space of the T-6/Z(3) orbifold, that is SU(3, 3)/SU(3) x U(3). This construction requires a crucial use of the solvable Lie algebra formalism. Once the group-theoretical analysis is done, starting from a static, spherically symmetric ansatz, we find an exact solution for all the scalars (both dilaton- and axion-like) and for gauge fields, together with their already known charge-dependent fixed values, which yield a U-duality-invariant entropy. We also give a complete translation dictionary between the solvable Lie algebra and the special Kahler formalisms in order to allow a more immediate comparison with other papers on similar issues. Although the explicit solution is given in a simplified case where the equations turn out to be more manageable, it encodes all the features of the more general one, namely it has non-vanishing entropy and the scalar fields have a non-trivial radial dependence.
|Titolo:||N=8 BPS black holes preserving 1/8 supersymmetry|
|Autori:||BERTOLINI M; M. TRIGIANTE; P. FRE|
|Rivista:||CLASSICAL AND QUANTUM GRAVITY|
|Data di pubblicazione:||1999|
|Digital Object Identifier (DOI):||10.1088/0264-9381/16/5/305|
|Appare nelle tipologie:||1.1 Journal article|