Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary conformal field theories on random surfaces and the
  non-critical open string   We analyse boundary conformal field theories on random surfaces using the
conformal gauge approach of David, Distler and Kawai. The crucial point is the
choice of boundary conditions on the Liouville field. We discuss the Weyl
anomaly cancellation for Polyakov`s non-critical open bosonic string with
Neumann, Dirichlet and free boundary conditions. Dirichlet boundary conditions
on the Liouville field imply that the metric is discontinuous as the boundary
is approached. We consider the semi-classical limit and argue how it singles
out the free boundary conditions on the Liouville field. We define the open
string susceptibility, the anomalous gravitational scaling dimensions and a new
Yang-Mills Feynman mass critical exponent.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math