1. N=2 SUGRA BPS multi-center black holes and freudenthal triple systems.
- Author
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Torrente-Lujan, E. and Fernandez-Melgarejo, J. J.
- Subjects
SUPERGRAVITY ,DUALITY (Nuclear physics) ,BLACK holes ,GRAVITATION ,QUANTUM gravity - Abstract
We present a detailed description of N = 2 stationary BPS multicenter black hole solutions for quadratic prepotentials with an arbitrary number of centers and scalar fields making a systematic use of the algebraic properties of the matrix of second derivatives of the prepotential, S, which in this case is a scalar-independent matrix. The anti-involution matrix S can be understood as a Freudenthal duality x = Sx. We show that this duality can be generalized to "Freudenthal transformations" x → λ exp(θS)x = ax + bx under which the horizon area, ADM mass and intercenter distances scale up leaving constant the scalars at the fixed points. In the special case λ = 1, "S-rotations", the transformations leave invariant the solution. The standard Freudenthal duality can be written as x = exp(пπ/2 S)x. We argue that these generalized transformations leave invariant not only the quadratic prepotential theories but also the general stringy extremal quartic form Δ4, Δ
4 (x) = Δ4 (cos θx + sin θ x) and therefore its entropy at lowest order. [ABSTRACT FROM AUTHOR]- Published
- 2015
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