Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological R\'enyi and Entanglement Entropy for a 2d q-deformed $U(N)$
  Yang-Mills theory and its Chern-Simons dual   R\'enyi and entanglement entropies are constructed for 2d q-deformed
topological Yang-Mills theories with gauge group $U(N)$, as well as the dual 3d
Chern-Simons (CS) theory on Seifert manifolds. When $q=\exp[2\pi i/(N+K)]$, and
$K$ is odd, the topological R\'enyi entropy and Wilson line observables of the
CS theory can be expressed in terms of the modular transformation matrices of
the WZW theory, $\rm{\hat{U}(N)}_{K,N(K+N)}$. If both $K$ and $N$ are odd,
there is a level-rank duality of the 2d qYM theory and of the associated CS
theory, as well as that of the R\'enyi and entanglement entropies, and Wilson
line observables.

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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex