Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix Models of 2D String Theory in Non--trivial Backgrounds   After a brief review of critical string theory in trivial backgrounds we
begin with introduction to strings in non--trivial backgrounds and noncritical
string theory. In particular, we relate the latter to critical string theory in
a linear dilaton background.
  We then show how a black hole background arises from 2D string theory and
discuss some of its properties. A time--dependant tachyon background is
constructed by perturbing the CFT describing string theory in a linear dilaton
background. It is then explained that the T--dual of this theory with one
non--vanishing tachyon coupling, which is a sine-Liouville CFT, is seemingly
equivalent to the exact CFT describing the Euclidean black hole background.
  Subsequently, we launch into a review of some important facts concerning
random matrix models and matrix quantum mechanics (MQM), culminating in an MQM
model of 2D string theory in a dynamic tachyon background. We then solve this
theory explicitly in the tree level approximation for the case of two
non--vanishing tachyon couplings, which generalises the case of sine-Liouville
CFT previously considered in the literature.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an