Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector Chiral Phases in the Frustrated 2D XY Model and Quantum Spin
  Chains   The phase diagram of the frustrated 2D classical and 1D quantum XY models is
calculated analytically. Four transitions are found: the vortex unbinding
transitions triggered by strong fluctuations occur above and below the chiral
transition temperature. Vortex interaction is short range on small and
logarithmic on large scales. The chiral transition, though belonging to the
Ising universality class by symmetry, has different critical exponents due to
nonlocal interaction. In a narrow region close to the Lifshitz point a
reentrant phase transition between paramagnetic and quasiferromagnetic phase
appears. Applications to antiferromagnetic quantum spin chains and
multiferroics are discussed.

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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom