Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed
  gauge symmetries   Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM)
in 2 dimensions are examples of the same theory, if their field equations are
interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as
homotopies of such morphisms. We point out that the (off-shell) gauge
symmetries of the PSM in the literature are not globally well-defined for
non-parallelizable Poisson manifolds and propose a covariant definition of them
as left action of some finite-dimensional Lie algebroid.
  Our approach allows to avoid complications arising in the infinite
dimensional super-geometry of the BV- and AKSZ-formalism. This preprint is a
starting point in a series of papers meant to introduce Yang-Mills type gauge
theories of Lie algebroids, which include and generalize the standard YM
theory, the PSM, and gerbes.

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The categories of this paper are: nlin
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat