Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consistent systems of correlators in non-semisimple conformal field
  theory   Based on the modular functor associated with a -- not necessarily semisimple
-- finite non-degenerate ribbon category $\mathcal D$, we present a definition
of a consistent system of bulk field correlators for a conformal field theory
which comprises invariance under mapping class group actions and compatibility
with the sewing of surfaces. We show that when restricting to surfaces of genus
zero such systems are in bijection with commutative symmetric Frobenius
algebras in $\mathcal D$, while for surfaces of any genus they are in bijection
with modular Frobenius algebras in $\mathcal D$. This provides additional
insight into structures familiar from rational conformal field theories and
extends them to rigid logarithmic conformal field theories.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
4
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: stat
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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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: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph