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Title: Smallest matrix black hole model in the classical limit

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 10; Related Information: CHORUS Timestamp: 2017-05-04 22:09:40; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Berenstein, David, and Kawai, Daisuke. Smallest matrix black hole model in the classical limit. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.106004.
Berenstein, David, & Kawai, Daisuke. Smallest matrix black hole model in the classical limit. United States. doi:10.1103/PhysRevD.95.106004.
Berenstein, David, and Kawai, Daisuke. Thu . "Smallest matrix black hole model in the classical limit". United States. doi:10.1103/PhysRevD.95.106004.
title = {Smallest matrix black hole model in the classical limit},
author = {Berenstein, David and Kawai, Daisuke},
abstractNote = {},
doi = {10.1103/PhysRevD.95.106004},
journal = {Physical Review D},
number = 10,
volume = 95,
place = {United States},
year = {Thu May 04 00:00:00 EDT 2017},
month = {Thu May 04 00:00:00 EDT 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.95.106004

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  • We investigate a deformed matrix model of type 0A theory related to supersymmetric Witten's black hole in two-dimensions, a generalization of bosonic model suggested by Kazakov et al. We find a free field realization of the partition function of the matrix model, which includes Ramond-Ramond perturbations in the type 0A theory. In a simple case, the partition function is factorized into two determinants, which are given by {tau} function of an integrable system. We work out the genus expansion of the partition function. Holographic relation with the supersymmetric Witten's black hole is checked by Wilson line computation. The corresponding partitionmore » function of the matrix model exhibits a singular behavior, which is interpreted as the point of enhanced N=2 world sheet supersymmetry. An interesting relation between the deformed matrix model and topological string on a Z{sub 2} orbifold of conifold is found.« less
  • The proportionality between black-hole entropy and area is derived from the minimal assumption that black holes are classical thermodynamic objects. The relationship between the classical and quantum formulas is shown to be similar to that of blackbody radiation. Classical thermodynamics is shown to imply certain characteristics for classical waves which are normally thought to be quantum mechanical in origin.
  • The mass estimator used to calculate black hole (BH) masses in broad-line active galactic nuclei (AGNs) relies on a virial coefficient (the 'f factor') that is determined by comparing reverberation-mapped (RM) AGNs with measured bulge stellar velocity dispersions against the M {sub BH}-σ{sub *} relation of inactive galaxies. It has recently been recognized that only classical bulges and ellipticals obey a tight M {sub BH}-σ{sub *} relation; pseudobulges have a different zero point and much larger scatter. Motivated by these developments, we reevaluate the f factor for RM AGNs with available σ{sub *} measurements, updated Hβ RM lags, and newmore » bulge classifications based on detailed decomposition of high-resolution ground-based and space-based images. Separate calibrations are provided for the two bulge types, whose virial coefficients differ by a factor of ∼2: f = 6.3 ± 1.5 for classical bulges and ellipticals and f = 3.2 ± 0.7 for pseudobulges. The structure and kinematics of the broad-line region, at least as crudely encoded in the f factor, seems to be related to the large-scale properties or formation history of the bulge. Lastly, we investigate the bulge stellar masses of the RM AGNs, show evidence for recent star formation in the AGN hosts that correlates with Eddington ratio, and discuss the potential utility of the M {sub BH}-M {sub bulge} relation as a more promising alternative to the conventionally used M {sub BH}-σ{sub *} relation for future refinement of the virial mass estimator for AGNs.« less
  • The authors study the backreaction of a thermal field in a weak gravitational background depicting the far-field limit of a black hole enclosed in a box by the closed time path (CTP) effective action and the influence functional method. They derive the noise and dissipation kernels of this system in terms of quantities in quasiequilibrium, and formally prove the existence of a fluctuation-dissipation relation (FDR) at all temperatures between the quantum fluctuations of the thermal radiance and the dissipation of the gravitational field. This dynamical self-consistent interplay between the quantum field and the classical spacetime is, they believe, the correctmore » way to treat backreaction problems. To emphasize this point they derive an Einstein-Langevin equation which describes the nonequilibrium dynamics of the gravitational perturbations under the influence of the thermal field. They show the connection between the method and the linear response theory (LRT), and indicate how the functional method can provide more accurate results than prior derivations of FDRs via LRT in the test-field, static conditions. This method is in principle useful for treating fully nonequilibrium cases such as backreaction in black hole collapse.« less