期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2016)023
关键词
AdS-CFT Correspondence; Black Holes; Field Theories in Lower Dimensions; Conformal and W Symmetry
资金
- Stanford Graduate Fellowship
- NSF [PHY-0756174]
- Department of Energy [DE-AC02-76SF00515, DE-FG02-91ER40671]
- US Department of Energy Office of Science [DE-SC-0010025]
- National Science and Engineering Council of Canada
- Simons Foundation
Pure theories of AdS(3) quantum gravity are conjectured to be dual to CFTs with sparse spectra of light primary operators. The sparsest possible spectrum consistent with modular invariance includes only black hole states above the vacuum. Witten conjectured the existence of a family of extremal CFTs, which realize this spectrum for all admissible values of the central charge. We consider the quantum corrections to the classical spectrum, and propose a specific modification of Witten's conjecture which takes into account the existence of small black hole states. These have zero classical horizon area, with a calculable entropy attributed solely to loop effects. Our conjecture passes various consistency checks, especially when generalized to include theories with supersymmetry. In theories with N = 2 supersymmetry, this near-extremal CFT proposal precisely evades the no-go results of Gaberdiel et al.
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