Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Defects in G/H coset, G/G topological field theory and discrete
  Fourier-Mukai transform   In this paper we construct defects in coset $G/H$ theory. Canonical
quantization of the gauged WZW model $G/H$ with $N$ defects on a cylinder and a
strip is performed and the symplectomorphisms between the corresponding phase
spaces and those of double Chern-Simons theory on an annulus and a disc with
Wilson lines are established. Special attention to topological coset $G/G$ has
been paid. We prove that a $G/G$ theory on a cylinder with $N$ defects
coincides with Chern-Simons theory on a torus times the time-line $R$ with 2N
Wilson lines. We have shown also that a $G/G$ theory on a strip with $N$
defects coincides with Chern-Simons theory on a sphere times the time-line $R$
with $2N+4$ Wilson lines. This particular example of topological field theory
enables us to penetrate into a general picture of defects in semisimple 2D
topological field theory. We conjecture that defects in this case described by
a 2-category of matrices of vector spaces and that the action of defects on
boundary states is given by the discrete Fourier-Mukai transform.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th