Speaker
Prof.
Masanori Hanada
(Kyoto University & Stanford University)
Description
We show how hot, evaporating black holes are described by
gauge theories. This talk consists of four parts,
which are related but can be understood to some extent
independently:
(1) Precision test of the gauge/gravity duality at finite
temperature by lattice simulations (Reference [1,2]),
(2) The microscopic description of the evaporation of black
holes based on gauge theories (Reference [3,4]),
(3) The microscopic description of the 10d Schwarzschild
black hole by 4d N=4 SYM (Reference [5]),
(4) The emergence of the black hole horizon from gauge
theory (Reference [6]).
In part (1), I explain the state-of-the-art numerical
studies of super Yang-Mills theories, in particular the
supercomputer simulations of
D0-brane quantum mechanics. This year, the large-N and
continuum limits are taken for the first time, and the
gauge/gravity duality conjecture
at finite temperature has been tested very precisely. Both
the leading supergravity part and stringy corrections has
been reproduced rather precisely.
In part (2), we attack one of the biggest mystery of the
gauge/gravity duality -- can gauge theories describe
evaporating black holes
with the negative specific heat? We point out that the
previous analyses missed the process of the emission of
D-branes (eigenvalues of matrices),
and with a proper treatment of this process, the evaporation
and negative specific heat are inevitable consequences in
rather generic class of
black holes with gauge theory duals. For the case of black
zero-brane, we analyze the evaporation process
quantitatively by using analytic methods.
In part (3), we apply the same idea to 4d N=4 SYM on
three-sphere. Then the microscopic description of the small
10d black hole and
the Hagedorn behavior can be obtained rather
straightforwardly.
In part (4), we consider the 'bulk geometry' by looking at
gauge theory. More specifically, we study the force acting
on D-branes
in gauge theory side. We argue that the horizon is only an
approximate concept at large-N; it becomes obscure, or
'disappear', at finite-N.
We see how this picture is related to the evaporation
described in part (3).
References:
[1] E. Berkowitz, E. Rinaldi, M. Hanada, G. Ishiki, S.
Shimasaki and P. Vranas (Monte Carlo String/M-theory
Collaboration),
``Supergravity from D0-brane Quantum Mechanics,''
arXiv:1606.04948 [hep-th].
[2] E. Berkowitz, E. Rinaldi, M. Hanada, G. Ishiki, S.
Shimasaki and P. Vranas (Monte Carlo String/M-theory
Collaboration),
``Precision lattice test of the gauge/gravity duality at
large-N,'' arXiv:1606.04951 [hep-lat].
[3] E. Berkowitz, M. Hanada and J. Maltz, ``Chaos in Matrix
Models and Black Hole Evaporation,'' arXiv:1602.01473 [hep-
th].
[4] E. Berkowitz, M. Hanada and J. Maltz, ``A microscopic
description of black hole evaporation via holography,''
arXiv:1603.03055 [hep-th].
[5] M. Hanada, J. Maltz and L. Susskind, in preparation.
[6] E. Berkowitz, G. Gur-Ari, M. Hanada, J. Maltz, E.
Rinaldi and P. Vranas, in preparation.
