TY - JOUR

T1 - Charge orbits of symmetric special geometries and attractors

AU - Bellucci, Stefano

AU - Ferrara, Sergio

AU - Günaydin, Murat

AU - Marrani, Alessio

N1 - Funding Information:
The work of M. Günaydin was supported in part by the National Science Foundation under grant number PHY-0245337 and PHY-0555605. Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Funding Information:
The work of S. Bellucci has been supported in part by the European Community Human Potential Program under contract MRTN-CT-2004-005104 “Constituents, fundamental forces and symmetries of the universe.” The work of S. Ferrara has been supported in part by the European Community Human Potential Program under contract MRTN-CT-2004-005104 “Constituents, fundamental forces and symmetries of the universe,” in association with INFN Frascati National Laboratories and by D.O.E. grant DE-FG03-91ER40662, Task C.

PY - 2006/10/10

Y1 - 2006/10/10

N2 - We study the critical points of the black hole scalar potential V BH in N = 2, d = 4 super-gravity 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 Kähler manifold. For the case of homogeneous symmetric spaces, we find three general classes of regular attractor solutions with nonvanishing 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 nondegenerate, namely they have nonvanishing 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 Kähler geometry.

AB - We study the critical points of the black hole scalar potential V BH in N = 2, d = 4 super-gravity 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 Kähler manifold. For the case of homogeneous symmetric spaces, we find three general classes of regular attractor solutions with nonvanishing 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 nondegenerate, namely they have nonvanishing 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 Kähler geometry.

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U2 - 10.1142/S0217751X06034355

DO - 10.1142/S0217751X06034355

M3 - Article

AN - SCOPUS:33750434304

SN - 0217-751X

VL - 21

SP - 5043

EP - 5097

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 25

ER -