Thermodynamics of the near-extremal NS5-brane

2005/10/25 by Troels Harmark, T. Harmark, Niels A. Obers +1 · 15 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Brane #Brane cosmology #Canonical ensemble #Cosmology and Gravitation Theories #Duality (order theory) #Entropy (arrow of time) #Extremal black hole #Limiting #Mathematical physics #Mathematics #Monte Carlo method #Physics #Pure mathematics #Supergravity #Supersymmetry #Theoretical physics #Thermodynamics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.01.045

published in Nuclear Physics B 742(1-3), 41-58 (Elsevier BV) · 22 pages, 6 figures. v2: Added clarifying remarks on relation to previous work on thermodynamics of NS5-brane. Refs added

arxiv created 2005/10/25 · openalex publication_date 2006/03/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the thermodynamics of the near-extremal NS5-brane in type IIA string theory. The central tool we use is to map phases of six-dimensional Kaluza-Klein black holes to phases of near-extremal M5-branes with a transverse circle in eleven-dimensional supergravity. By S-duality these phases correspond to phases of the near-extremal type IIA NS5-brane. One of our main results is that in the canonical ensemble the usual near-extremal NS5-brane background, dual to a uniformly smeared near-extremal M5-brane, is subdominant to a new background of near-extremal M5-branes localized on the transverse circle. This new stable phase has a limiting temperature, which lies above the Hagedorn temperature of the usual NS5-brane phase. We discuss the limiting temperature and compare the different behavior of the NS5-brane in the canonical and microcanonical ensembles. We also briefly comment on the thermodynamics of near-extremal Dp-branes on a transverse circle.

Citations

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