Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex-Temperature Phase Diagram of the 1D $Z_6$ Clock Model and its
  Connection with Higher-Dimensional Models   We determine the exact complex-temperature (CT) phase diagram of the 1D $Z_6$
clock model. This is of interest because it is the first exactly solved system
with a CT phase boundary exhibiting a finite-$K$ intersection point where an
odd number of curves (namely, three) meet, and yields a deeper insight into
this phenomenon. Such intersection points occur in the 3D spin 1/2 Ising model
and appear to occur in the 2D spin 1 Ising model. Further, extending our
earlier work on the higher-spin Ising model, we point out an intriguing
connection between the CT phase diagrams for the 1D and 2D $Z_6$ clock models.

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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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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