Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phases and phase transitions in a $U(1)\times U(1)$ system with
  $\theta=2\pi/3$ mutual statistics   We study a $U(1)\times U(1)$ system with short-range interactions and mutual
$\theta=2\pi/3$ statistics in (2+1) dimensions. We are able to reformulate the
model to eliminate the sign problem, and perform a Monte Carlo study. We find a
phase diagram containing a phase with only small loops and two phases with one
species of proliferated loop. We also find a phase where both species of loop
condense, but without any gapless modes. Lastly, when the energy cost of loops
becomes small we find a phase which is a condensate of bound states, each made
up of three particles of one species and a vortex of the other. We define
several exact reformulations of the model, which allow us to precisely describe
each phase in terms of gapped excitations. We propose field-theoretic
descriptions of the phases and phase transitions, which are particularly
interesting on the "self-dual" line where both species have identical
interactions. We also define irreducible responses useful for describing the
phases.

26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex