Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-19
Phys.Rev.Lett.102:191602,2009
Physics
High Energy Physics
High Energy Physics - Theory
REVTeX4, 4 pages, 2 figures. Ver.2:intuitive derivation of the subleading term added
Scientific paper
10.1103/PhysRevLett.102.191602
We perform a direct test of the gauge-gravity duality associated with the system of N D0-branes in type IIA superstring theory at finite temperature. Based on the fact that higher derivative corrections to the type IIA supergravity action start at the order of \alpha'^3, we derive the internal energy in expansion around infinite 't Hooft coupling up to the subleading term with one unknown coefficient. The power of the subleading term is shown to be nicely reproduced by the Monte Carlo data obtained nonperturbatively on the gauge theory side at finite but large effective (dimensionless) 't Hooft coupling constant. This suggests, in particular, that the open strings attached to the D0-branes provide the microscopic origin of the black hole thermodynamics of the dual geometry including \alpha' corrections. The coefficient of the subleading term extracted from the fit to the Monte Carlo data provides a prediction for the gravity side, which can be checked once the complete form of the O(\alpha'^3) corrections to the supergravity action is obtained.
Hanada Masanori
Hyakutake Yoshifumi
Nishimura Jun
Takeuchi Shingo
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