Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String theory and the Kauffman polynomial   We propose a new, precise integrality conjecture for the colored Kauffman
polynomial of knots and links inspired by large N dualities and the structure
of topological string theory on orientifolds. According to this conjecture, the
natural knot invariant in an unoriented theory involves both the colored
Kauffman polynomial and the colored HOMFLY polynomial for composite
representations, i.e. it involves the full HOMFLY skein of the annulus. The
conjecture sheds new light on the relationship between the Kauffman and the
HOMFLY polynomials, and it implies for example Rudolph's theorem. We provide
various non-trivial tests of the conjecture and we sketch the string theory
arguments that lead to it.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph