Quantum Near Horizon Geometry of Black 0-Brane

Abstract

We investigate a bunch of D0-branes to reveal its quantum nature from the gravity side. In the classical limit, it is well described by a non-extremal black 0-brane in type IIA supergravity. The solution is uplifted to the eleven dimensions and expressed by a non-extremal M-wave solution. After reviewing the effective action for the M-theory, we explicitly solve the equations of motion for the near horizon geometry of the M-wave. As a result we derive an unique solution which includes the effect of the quantum gravity. Thermodynamic property of the quantum near horizon geometry of the black 0-brane is also studied by using Wald's formula. Combining our result with that of the Monte Carlo simulation of the dual thermal gauge theory, we find strong evidence for the gauge/gravity duality in the D0-branes system at the level of quantum gravity.

34 pages, 2 figures, section 7 is added to clarify the validity of the analyses, references added, typos corrected. Lower bound of eq. (64) and fig. 2 in section 7 are corrected

References in corpus (7)

• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• R^4, purified
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• Toward the Determination of R^3F^2 Terms in M-theory
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Cited by in corpus (12)

• Precision lattice test of the gauge/gravity duality at large-$N$
• Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
• Scaling similarities and quasinormal modes of D0 black hole solutions
• Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
• Quantum M-wave and Black 0-brane
• Inflationary Cosmology via Quantum Corrections in M-theory
• Black Hole and Fuzzy Objects in BFSS Matrix Model
• Super Virasoro Algebras From Chiral Supergravity
• Coronal heating problem solution by means of axion origin photons
• Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
• $1/N$ correction in holographic Wilson loop from quantum gravity