Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The boundary field theory induced by the Chern-Simons theory   The Chern-Simons theory defined on a 3-dimensional manifold with boundary is
written as a two-dimensional field theory defined only on the boundary of the
three-manifold. The resulting theory is, essentially, the pullback to the
boundary of a symplectic structure defined on the space of auxiliary fields in
terms of which the connection one-form of the Chern-Simons theory is expressed
when solving the condition of vanishing curvature. The counting of the physical
degrees of freedom living in the boundary associated to the model is performed
using Dirac's canonical analysis for the particular case of the gauge group
SU(2). The result is that the specific model has one physical local degree of
freedom. Moreover, the role of the boundary conditions on the original Chern-
Simons theory is displayed and clarified in an example, which shows how the
gauge content as well as the structure of the constraints of the induced
boundary theory is affected.

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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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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: quant-ph
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin