Universality of supersymmetric attractors

被引:424
作者
Ferrara, S [1 ]
Kallosh, R [1 ]
机构
[1] STANFORD UNIV, DEPT PHYS, STANFORD, CA 94305 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.54.1525
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The macroscopic entropy-area formula for supersymmetric black holes in N=2,4,8 theories is found to be universal: in d=4 it is always given by the square of the largest of the central charges extremized in moduli space. The proof of universality is based on the fact that the doubling of unbroken supersymmetry near the black hole horizon requires that all central charges other than Z=M vanish at the attractor point for N=4,8. The ADM mass at the extremum can be computed in terms of duality symmetric quartic invariants which are moduli independent. The extension of these results for d=5, N=1,2,4 is also reported. A duality symmetric expression for the energy of the ground state with spontaneous breaking of supersymmetry is provided by the power 1/2 (2/3) of the black hole area of the horizon in d=4 (d=5). It is suggested that the universal duality symmetric formula for the energy of the ground state in supersymmetric gravity is given by the modulus of the maximal central charge at the attractor point in any supersymmetric theory in any dimension.
引用
收藏
页码:1525 / 1534
页数:10
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