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D1-D5 black hole microstate counting from supergravity

2005/12/31 by Vyacheslav S Rychkov, Vyacheslav. S. Rychkov · 87 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Boson #Computation #Covariant transformation #Homotopy and Cohomology in Algebraic Topology #Ministate #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Planck constant #Quantization (signal processing) #Supergravity #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/01/063

published in Journal of High Energy Physics 2006(01), 063 (Springer Nature) · 18 pages, 2 figures, JHEP3.cls; v2: references and comments added

arxiv created 2006/01/03 · openalex publication_date 2006/01/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We quantize the moduli space of regular D1-D5 microstates, directly from Type IIB SUGRA. The moduli space is parametrized by a smooth closed non-selfintersecting curve in four dimensions, and we derive that the components of the curve satisfy chiral boson commutation relations, with the correct value of the effective Planck constant previously conjectured using U-duality. We use the Crnkovic-Witten-Zuckerman covariant quantization method, previously used to quantize the `bubbling AdS' geometries, combined with a certain new `consistency condition' which allows us to reduce the computation to quantizing perturbations around the plane wave.

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