Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-lattice simulation of supersymmetric gauge theories as a probe to
  quantum black holes and strings   In the past decade we have witnessed remarkable developments in the
gauge-gravity duality, which suggested a new approach to superstring theory and
quantum space-time. In this context it is important to study supersymmetric
large-N gauge theories in the strongly coupled regime. I will summarize the
results and insights obtained so far by non-lattice simulations. A simple
example of the gauge-gravity duality is the one between 1d U(N) gauge theory
with 16 supercharges and the so-called black 0-brane solution in type IIA
supergravity. In order for this duality to be valid, one has to take the 't
Hooft large-N limit and to take the strong coupling limit on the gauge theory
side. The gauge theory can be regularized by fixing the gauge completely thanks
to one dimension, and by introducing a Fourier mode cutoff. One can then use
the standard RHMC algorithm to simulate the system. The energy calculated as a
function of the temperature was compared with the results obtained from the
gravity side based on the black hole thermodynamics. This confirmed the
gauge-gravity duality with high accuracy and provided the microscopic origin of
the black hole thermodynamics. From the calculation of the Wilson loop, one
obtains the Schwarzschild radius of the dual geometry. One can actually use the
present 1d model with supersymmetric mass deformation to study \mathcal{N}=4
super Yang-Mills theory on R \times S^3 based on a novel large-N reduction,
which generalizes the original idea of Eguchi and Kawai. It is remarkable that
we can now simulate the 4d superconformal field theory, which appears in the
most typical case of the gauge-gravity duality known as the AdS/CFT
correspondence. In particular, no fine-tuning is required unlike previous
proposals based on the lattice regularization.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an