Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bose-Einstein condensation as symmetry breaking in compact curved
  spacetimes   We examine Bose-Einstein condensation as a form of symmetry breaking in the
specific model of the Einstein static universe. We show that symmetry breaking
never occursin the sense that the chemical potential $\mu$ never reaches its
critical value.This leads us to some statements about spaces of finite volume
in general. In an appendix we clarify the relationship between the standard
statistical mechanical approaches and the field theory method using zeta
functions.

23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph