2,639 research outputs found
Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
We perform a direct test of the gauge-gravity duality associated with the
system of N D0-branes in type IIA superstring theory at finite temperature.
Based on the fact that higher derivative corrections to the type IIA
supergravity action start at the order of \alpha'^3, we derive the internal
energy in expansion around infinite 't Hooft coupling up to the subleading term
with one unknown coefficient. The power of the subleading term is shown to be
nicely reproduced by the Monte Carlo data obtained nonperturbatively on the
gauge theory side at finite but large effective (dimensionless) 't Hooft
coupling constant. This suggests, in particular, that the open strings attached
to the D0-branes provide the microscopic origin of the black hole
thermodynamics of the dual geometry including \alpha' corrections. The
coefficient of the subleading term extracted from the fit to the Monte Carlo
data provides a prediction for the gravity side, which can be checked once the
complete form of the O(\alpha'^3) corrections to the supergravity action is
obtained.Comment: REVTeX4, 4 pages, 2 figures. Ver.2:intuitive derivation of the
subleading term adde
Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
In the string/gauge duality it is important to understand how the space-time
geometry is encoded in gauge theory observables. We address this issue in the
case of the D0-brane system at finite temperature T. Based on the duality, the
temporal Wilson loop operator W in gauge theory is expected to contain the
information of the Schwarzschild radius R_{Sch} of the dual black hole geometry
as log = R_{Sch} / (2 pi alpha' T). This translates to the power-law
behavior log = 1.89 (T/lambda^{1/3})^{-3/5}, where lambda is the 't Hooft
coupling constant. We calculate the Wilson loop on the gauge theory side in the
strongly coupled regime by performing Monte Carlo simulation of supersymmetric
matrix quantum mechanics with 16 supercharges. The results reproduce the
expected power-law behavior up to a constant shift, which is explainable as
alpha' corrections on the gravity side.Comment: REVTeX4, 4 pages, 1 figur
Non-lattice simulation for supersymmetric gauge theories in one dimension
Lattice simulation of supersymmetric gauge theories is not straightforward.
In some cases the lack of manifest supersymmetry just necessitates cumbersome
fine-tuning, but in the worse cases the chiral and/or Majorana nature of
fermions makes it difficult to even formulate an appropriate lattice theory. We
propose to circumvent all these problems inherent in the lattice approach by
adopting a non-lattice approach in the case of one-dimensional supersymmetric
gauge theories, which are important in the string/M theory context.Comment: REVTeX4, 4 pages, 3 figure
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