Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Exact Operator Formalism of Two-Dimensional Liouville Quantum
  Gravity in Minkowski Spacetime   A detailed reexamination is made of the exact operator formalism of
two-dimensional Liouville quantum gravity in Minkowski spacetime with the
cosmological term fully taken into account.
  Making use of the canonical mapping from the interacting Liouville field into
a free field, we focus on the problem of how the Liouville exponential operator
should be properly defined. In particular, the condition of mutual locality
among the exponential operators is carefully analyzed, and a new solution,
which is neither smoothly connected nor relatively local to the existing
solution, is found. Our analysis indicates that, in Minkowski spacetime,
coupling gravity to matter with central charge $d<1$ is problematical. For
$d=1$, our new solution appears to be the appropriate one; for this value of
$d$, we demonstrate that the operator equation of motion is satisfied to all
orders in the cosmological constant with a certain regularization. As an
application of the formalism, an attempt is made to study how the basic
generators of the ground ring get modified due to the inclusion of the
cosmological term. Our investigation, although incomplete, suggests that in
terms of the canonically mapped free field the ground ring is not modified.

24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex