期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2018)146
关键词
AdS-CFT Correspondence; Black Holes; Black Holes in String Theory
资金
- French state [ANR-10-LABX-63, ANR-11-IDEX-0004-02]
- CEFIPRA [5204-4]
- Marie-Sklodowska Curie Individual Fellowship
We compute the on-shell action of static, BPS black holes in AdS(4) from N = 2 gauged supergravity coupled to vector multiplets and show that for a certain class it is equal to minus the entropy of the black hole. Holographic renormalization is used to demonstrate that with Neumann boundary conditions on the scalar fields, the divergent and finite contributions from the asymptotic boundary vanish. The entropy arises from the extrinsic curvature on Sigma(g) x S-1 evaluated at the horizon, where Sigma(g) may have any genus g >= 0. This provides a clarification of the equivalence between the partition function of the twisted ABJM theory on Sigma(g) x S-1 and the entropy of the dual black hole solutions. It also demonstrates that the complete entropy resides on the AdS 2 x Sigma(g) horizon geometry, implying the absence of hair for these gravity solutions.
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