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• W1973465836 abstract "We consider the AdS 2 /CFT 1 holographic correspondence near the horizon of rotating five-dimensional black holes preserving four supersymmetries in $$ mathcal{N}=2 $$ supergravity. The bulk partition function is given by a functional integral over string fields in AdS 2 and is related to the quantum entropy via the Sen’s proposal. Under certain assumptions we use the idea of equivariant localization to non-rigid backgrounds and show that the path integral of off-shell supergravity on the near horizon background, which is a circle fibration over AdS 2 × S 2, reduces to a finite dimensional integral over n V + 1 parameters C A , where n V is the number of vector multiplets of the theory while the C 0 mode corresponds to a normalizable fluctuation of the metric. The localization solutions, which rely only on off-shell supersymmetry, become after a field redefinition, the solutions found for localization of supergravity on AdS 2 × S 2. We compute the renormalized action on the localization locus and show that, in the absence of higher derivative corrections, it agrees with the four dimensional counterpart computed on AdS 2 × S 2. These results together with possible one-loop contributions can be used to establish an exact connection between five and four dimensional quantum entropies." @default.
• W1973465836 created "2016-06-24" @default.
• W1973465836 creator A5008757208 @default.
• W1973465836 date "2015-01-01" @default.
• W1973465836 modified "2023-09-27" @default.
• W1973465836 title "Quantum entropy and exact 4D/5D connection" @default.
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• W1973465836 doi "https://doi.org/10.1007/jhep01(2015)109" @default.
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