Charge Orbits of Symmetric Special Geometries and Attractors

By S. Bellucci, Sergio Ferrara, M. Gunaydin, Alessio Marrani. 2006

172 citations recorded by the source corpus.

We study the critical points of the black hole scalar potential VBH in N = 2, d = 4 supergravity coupled to nV vector multiplets, in an asymptotically flat extremal black hole background described by a 2(nV + 1)-dimensional dyonic charge vector and (complex) scalar fields which are coordinates of a special Kahler manifold. For the case of homogeneous symmetric spaces, we find three general classes of regular attractor solutions with non-vanishing Bekenstein-Hawking entropy. They correspond to three (inequivalent) classes of orbits of the charge vector, which is in a 2(nV + 1)- dimensional representation RV of the U-duality group. Such orbits are non-degenerate, namely they have non-vanishing quartic invariant (for rank-3 spaces). Other than the 1 2 -BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The three species of solutions to the N = 2 extremal black hole attractor equations give rise to different mass spectra of the scalar fluctuations, whose pattern can be inferred by using invariance properties of the critical points of VBH and some group theoretical considerations on homogeneous symmetric special Kahler geometry.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1aff9702ff6163d57e825b625b984d048bb012f2

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Citations in the corpus

Extremal black holes in supergravity (2006, methodology): “It is interesting to note, as already observed in [49, 67, 64], that the bosonic sector of the N = 6 is exactly the same as the one of the N = 2 model coupled with 15 vector multiplets with scalar sector based on the same coset (308).”
Black Holes, Qubits and Octonions (2008, background): “The central charge Z of the four-dimensionalN = 2 theory coupled to nV vector multiplets can be written in terms of the electric andmagnetic charges of the black hole from the (nV +1)U(1) gauge fields of the theory [128,150,151] Z(z, z, p, q) = eK(z,z)/2(X (z)qI − FI(z)p), I ∈ {0, .”
Gauged Supergravities. (2016, background): “For the classification of these orbits we can make contact with the literature on black hole solutions to ungauged extended supergravities and their classification with respect to the action of the global symmetry group G, see [290, 291].”