Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Chiral Potts Model and Its Associated Link Invariant   A new link invariant is derived using the exactly solvable chiral Potts model
and a generalized Gaussian summation identity. Starting from a general
formulation of link invariants using edge-interaction spin models, we establish
the uniqueness of the invariant for self-dual models. We next apply the
formulation to the self-dual chiral Potts model, and obtain a link invariant in
the form of a lattice sum defined by a matrix associated with the link diagram.
A generalized Gaussian summation identity is then used to carry out this
lattice sum, enabling us to cast the invariant into a tractable form. The
resulting expression for the link invariant is characterized by roots of unity
and does not appear to belong to the usual quantum group family of invariants.
A table of invariants for links with up to 8 crossings is given.

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The categories of this paper are: bayes-an
2
The categories of this paper are: math
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: q-fin