2009/07/03 by Dileep P. Jatkar, Ashoke Sen, Yogesh K. Srivastava
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Curvature #Degrees of freedom (physics and chemistry) #Extremal black hole #Horizon #Quantum Electrodynamics and Casimir Effect #Singularity #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep02(2010)038
published as JHEP 1002:038,2010 · 40 pages, LaTeX
arxiv created 2009/07/03 · openalex publication_date 2010/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
BMPV black holes in flat transverse space and in Taub-NUT space have identical near horizon geometries but different microscopic degeneracies. It has been proposed that this difference can be accounted for by different contribution to the degeneracies of these black holes from hair modes, -- degrees of freedom living outside the horizon. In this paper we explicitly construct the hair modes of these two black holes as finite bosonic and fermionic deformations of the black hole solution satisfying the full non-linear equations of motion of supergravity and preserving the supersymmetry of the original solutions. Special care is taken to ensure that these solutions do not have any curvature singularity at the future horizon when viewed as the full ten dimensional geometry. We show that after removing the contribution due to the hair degrees of freedom from the microscopic partition function, the partition functions of the two black holes agree.