Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Phases of a Vortex String   We argue that the world-sheet dynamics of magnetic k-strings in the Higgs
phase of the mass-deformed N=4 theory, is controlled by a bosonic O(3) sigma
model with anisotropy and a topological theta term. The theory interpolates
between a massless O(2) symmetric regime, a massive O(3) symmetric phase and
another massive phase with a spontaneously broken Z_2 symmetry. The first two
phases are separated by a Kosterlitz-Thouless transition. When \theta = \pi the
O(3) symmetric phase flows to an interacting fixed point; sigma model kinks and
their dyonic partners become degenerate, mirroring the behaviour of monopoles
in the parent gauge theory. This leads to the identification of the kinks with
monopoles confined on the string.

14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat