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COARSE-GRAINING 1/2 BPS GEOMETRIES OF TYPE IIB SUPERGRAVITY

2004/09/26 by Alex Buchel
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Degenerate energy levels #Fermion #Geometry #Higher-dimensional supergravity #Hilbert space #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Supergravity #Supersymmetry #Theoretical physics #Thermal equilibrium #Type (biology) #hep-th

paper · pdf · doi:10.1142/s0217751x06032551

published as Int.J.Mod.Phys. A21 (2006) 3495-3502 · 10 pages

arxiv created 2004/09/26 · openalex publication_date 2006/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recently Lin, Lunin and Maldacena (LLM) 1 explicitly mapped 1/2 BPS excitations of type IIB supergravity on AdS 5 × S 5 into free fermion configurations. We discuss thermal coarse-gaining of LLM geometries by explicitly mapping the corresponding equilibrium finite temperature fermion configuration into supergravity. Following Mathur conjecture, a prescription of this sort should generate a horizon in the geometry. We did not find a horizon in finite temperature equilibrium LLM geometry. This most likely is due to the fact that coarse-graining is performed only in a half-BPS sector of the full Hilbert space of type IIB supergravity. For temperatures much less than the AdS curvature scale the equilibrium background corresponding to nearly degenerate dual Fermi-gas is found analytically.

Citations