期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2010)081
关键词
Black Holes in String Theory; Extended Supersymmetry
资金
- ERC [226455]
- Italian MIUR-PRIN [2007-5ATT78]
- DOE [DE-FG03-91ER40662]
- NSF [0756174]
We establish a relation between time-like, light-like and space-like orbits of the non-compact E-7(7)(R) symmetry and discrete E-7(7)(Z) invariants. We discuss the U-duality invariant formula for the degeneracy of states d(Q) which in the approximation of large occupation numbers reproduces the Bekenstein-Hawking entropy formula for regular black holes with AdS(2) horizon. We explain why the states belonging to light-like orbits, corresponding to classical solutions of light black holes with null singularity, decouple from the corresponding index. We also present a separate U-duality invariant formula for the class of light-like orbits specified by discrete E-7(7)(Z) invariants. We conclude that the present study of the non-perturbative sector of the theory does not reveal any contradiction with the conjectured all-loop perturbative finiteness of D = 4 N = 8 supergravity.
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