Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On invariants of Modular categories beyond modular data   We study novel invariants of modular categories that are beyond the modular
data, with an eye towards a simple set of complete invariants for modular
categories. Our focus is on the $W$-matrix--the quantum invariant of a colored
framed Whitehead link from the associated TQFT of a modular category. We prove
that the $W$-matrix and the set of punctured $S$-matrices are strictly beyond
the modular data $(S,T)$. Whether or not the triple $(S,T,W)$ constitutes a
complete invariant of modular categories remains an open question.

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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: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: cs