Speaker
Jun Nishimura
Description
We test the gauge/gravity duality conjecture directly by using Monte Carlo
methods to study the strongly coupled regime of the relevant gauge theory.
In particular, we focus on the D0-brane system, which is described by
a one-dimensional gauge theory with 16 supercharges. Extending our previous
work, which confirmed the duality in the large-N limit, we investigate
whether the duality holds including the 1/N corrections. On the gravity
side, this corresponds to including the quantum string loop corrections.
The bound state of black 0-branes becomes meta-stable due to such
effects as indicated by the negative specific heat at low temperature.
The meta-stability shows up also on the gauge theory side due to the flat
directions of the scalar field potential. Introducing a cutoff on the value of
the scalar fields and investigating the cutoff dependence carefully,
we extract the internal energy of the metastable bound state as a function
of temperature. The results thus obtained turn out to be consistent with the
predition from the gravity side including the leading quantum string loop
corrections calculated recently.
