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Journal of High Energy Physics

, 2017:12 | Cite as

A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5

  • Masanori Hanada
  • Jonathan MaltzEmail author
Open Access
Regular Article - Theoretical Physics
First Online:

Abstract

Based on 4d \( \mathcal{N} \) = 4 SYM on \( {\mathbb{R}}^1\times {\mathrm{S}}^3 \), a gauge theory description of a small black hole in AdS5×S5 is proposed. The change of the number of dynamical degrees of freedom associated with the emission of the scalar fields’ eigenvalues plays a crucial role in this description. By analyzing the microcanonical ensemble, the Hagedorn behavior of long strings at low energy is obtained. Modulo an assumption based on the AdS/CFT duality for a large black hole, the energy of the small ten-dimensional Schwarzschild black hole E ∼ 1/(G 10,N T 7) is derived. A heuristic gauge theory argument supporting this assumption is also given. The same argument applied to the ABJM theory correctly reproduces the relation for the eleven-dimensional Schwarzschild black hole. One of the consequences of our proposal is that the small and large black holes are very similar when seen from the gauge theory point of view.

Keywords

Black Holes in String Theory Gauge-gravity correspondence M(atrix) Theories 
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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Stanford Institute for Theoretical Physics, Department of PhysicsStanford UniversityStanfordU.S.A.
  2. 2.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  3. 3.The Hakubi Center for Advanced ResearchKyoto UniversityKyotoJapan
  4. 4.Berkeley Center for Theoretical Physics, Department of PhysicsUniversity of California at BerkeleyBerkeleyU.S.A.

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