Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The center functor is fully faithful   We prove that the notion of Drinfeld center defines a functor from the
category of indecomposable multi-tensor categories with morphisms given by
bimodules to that of braided tensor categories with morphisms given by monoidal
bimodules. Moreover, we apply some ideas from the physics of topological orders
to prove that the center functor restricted to indecomposable multi-fusion
categories (with additional conditions on the target category) is fully
faithful. As byproducts, we provide new proofs to some important known results
in fusion categories. In physics, this fully faithful functor gives the precise
mathematical description of the boundary-bulk relation for 2+1D anomaly-free
topological orders with gapped boundaries.

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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-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
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys