2013/11/30 by Y. Hyakutake, Yoshifumi Hyakutake
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Duality (order theory) #Entropy (arrow of time) #Noncommutative and Quantum Gravity Theories #Quantum #Quantum dynamics #Quantum geometry #Quantum gravity #gr-qc #hep-th
paper · pdf · doi:10.1093/ptep/ptu028
published as Prog Theor Exp Phys (2014) 2014 (3): 033B04 · 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
openalex publication_date 2014/03/19 · arxiv created 2015/04/07 · openalex created_date 2016/06/24 · arxiv updated 2017/01/25 · openalex updated_date 2026/08/05
We investigate a bunch of D0-branes to reveal their 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 a unique solution that includes the effect of the quantum gravity. The thermodynamic properties of the quantum near-horizon geometry of the black 0-brane are also studied by using Wald's entropy 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-brane system at the level of quantum gravity.