Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice
  SO($N_c$) gauge theories with two scalar flavors   We study the phase diagram and critical behavior of a two-dimensional lattice
SO($N_c$) gauge theory ($N_c \ge 3$) with two scalar flavors, obtained by
partially gauging a maximally O($2N_c$) symmetric scalar model. The model is
invariant under local SO($N_c$) and global O(2) transformations. We show that,
for any $N_c \ge 3$, it undergoes finite-temperature
Berezinskii-Kosterlitz-Thouless (BKT) transitions, associated with the global
Abelian O(2) symmetry. The transition separates a high-temperature disordered
phase from a low-temperature spin-wave phase where correlations decay
algebraically (quasi-long range order). The critical properties at the
finite-temperature BKT transition and in the low-temperature spin-wave phase
are determined by means of a finite-size scaling analysis of Monte Carlo data.

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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin