Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduction of BTZ spacetime to hypersurfaces of foliation   We reduce the BTZ spacetime to two kinds of hypersurfaces of foliation: one
having a fixed radial coordinate and the other a fixed angular coordinate. The
radial reduction leads to a Liouville type theory, and confirms, from the first
principle, the expectation laid out in the literature. In the other endeavor,
the angular reduction of the 3D gravity is carried out in two different ways;
the first again yields a Liouville type theory (different from that of the
radial reduction) and the second yields a 2D interacting quantum field theory
with quartic potential. Finally we discuss potential implications of our result
for the Equivalence Principle and Purity of Hawking radiation.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg