2013/06/30 by Sameer Murthy, Valentin Reys
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Entropy (arrow of time) #Holomorphic function #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum mechanics #Supergravity #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep10(2013)099
22 pages
arxiv created 2013/07/09 · openalex publication_date 2013/10/01 · openalex created_date 2016/06/24 · arxiv updated 2020/11/13 · openalex updated_date 2026/08/05
A bstract Supersymmetric terms in the effective action of N=2 supergravity in four dimensions are generically classified into chiral-superspace integrals and full-superspace integrals. For a theory of N=2 vector multiplets coupled to supergravity, a special class of couplings is given by chiral-superspace integrals that are governed by a holomorphic prepotential function. The quantum entropy of BPS black holes in such theories depends on the prepotential according to a known integral formula. We show, using techniques of localization, that a large class of full-superspace integrals in the effective action of N=2 supergravity do not contribute to the quantum entropy of BPS black holes at any level in the derivative expansion. Our work extends similar results for semi-classical supersymmetric black hole entropy, and goes towards providing an explanation of why the prepotential terms capture the exact microscopic quantum black hole entropy.