Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anyonic particle-vortex statistics and the nature of dense quark matter   We show that $\mathbb{Z}_3$-valued particle-vortex braiding phases are
present in high density quark matter. Certain mesonic and baryonic excitations,
in the presence of a superfluid vortex, have orbital angular momentum quantized
in units of $\hbar/3$. Such non-local topological features can distinguish
phases whose realizations of global symmetries, as probed by local order
parameters, are identical. If $\mathbb{Z}_3$ braiding phases and angular
momentum fractionalization are absent in lower density hadronic matter, as is
widely expected, then the quark matter and hadronic matter regimes of dense QCD
must be separated by at least one phase transition.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat