Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge States in 4D and their 3D Groups and Fields   It is known that the Lagrangian for the edge states of a Chern-Simons theory
describes a coadjoint orbit of a Kac-Moody (KM) group with its associated
Kirillov symplectic form and group representation. It can also be obtained from
a chiral sector of a nonchiral field theory. We study the edge states of the
abelian $BF$ system in four dimensions (4d) and show the following results in
almost exact analogy: 1) The Lagrangian for these states is associated with a
certain 2d generalization of the KM group. It describes a coadjoint orbit of
this group as a Kirillov symplectic manifold and also the corresponding group
representation. 2) It can be obtained from with a ``self-dual" or
``anti-self-dual" sector of a Lagrangian describing a massless scalar and a
Maxwell field [ the phrase ``self-dual" here being used essentially in its
sense in monopole theory]. There are similar results for the nonabelian $BF$
system as well. These shared features of edge states in 3d and 4d suggest that
the edge Lagrangians for $BF$ systems are certain natural generalizations of
field theory Lagrangians related to KM groups.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex