Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Monoidal Category for Perturbed Defects in Conformal Field Theory   Starting from an abelian rigid braided monoidal category C we define an
abelian rigid monoidal category C_F which captures some aspects of perturbed
conformal defects in two-dimensional conformal field theory. Namely, for V a
rational vertex operator algebra we consider the charge-conjugation CFT
constructed from V (the Cardy case). Then C = Rep(V) and an object in C_F
corresponds to a conformal defect condition together with a direction of
perturbation. We assign to each object in C_F an operator on the space of
states of the CFT, the perturbed defect operator, and show that the assignment
factors through the Grothendieck ring of C_F. This allows one to find
functional relations between perturbed defect operators. Such relations are
interesting because they contain information about the integrable structure of
the CFT.

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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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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: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom