Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of the algebraic vortex liquid in an anisotropic spin-1/2
  triangular antiferromagnet   We explore spin-1/2 triangular antiferromagnets with both easy-plane and
lattice exchange anisotropies by employing a dual vortex mapping followed by a
fermionization of the vortices. Over a broad range of exchange anisotropy, this
approach leads naturally to a ``critical'' spin liquid--the algebraic vortex
liquid--which appears to be distinct from other known spin liquids. We present
a detailed characterization of this state, which is described in terms of
non-compact QED3 with an emergent SU(4) symmetry. Descendant phases of the
algebraic vortex liquid are also explored, which include the Kalmeyer-Laughlin
spin liquid, a variety of magnetically ordered states such as the well known
coplanar spiral state, and supersolids. In the range of exchange anisotropy
where the ``square lattice'' Neel ground state arises, we demonstrate that
anomalous ``roton'' minima in the excitation spectrum recently reported in
series expansions can be accounted for within our approach.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg