Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Category theory for conformal boundary conditions   We study properties of the category of modules of an algebra object A in a
tensor category C. We show that the module category inherits various structures
from C, provided that A is a Frobenius algebra with certain additional
properties. As a by-product we obtain results about the Frobenius-Schur
indicator in sovereign tensor categories. A braiding on C is not needed, nor is
semisimplicity.
  We apply our results to the description of boundary conditions in
two-dimensional conformal field theory and present illustrative examples. We
show that when the module category is tensor, then it gives rise to a NIM-rep
of the fusion rules, and discuss a possible relation with the representation
theory of vertex operator algebras.

13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ