A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5
Volume
2017
Pagination
12 - ?
Publisher
DOI
10.1007/jhep02(2017)012
Journal
Journal of High Energy Physics
Issue
ISSN
1126-6708
Metadata
Show full item recordAbstract
Based on 4d
= 4 SYM on
, 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.
Authors
Hanada, M; Maltz, JCollections
- Mathematics [1686]