Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Field Theory Interpretation of String Topology   The string bracket introduced by Chas and Sullivan [math.GT/9911159] is
reinterpreted from the point of view of topological field theories in the
Batalin-Vilkovisky or BRST formalisms. Namely, topological action functionals
for gauge fields (generalizing Chern-Simons and BF theories) are considered
together with generalized Wilson loops. The latter generate a (Poisson or
Gerstenhaber) algebra of functionals with values in the $S^1$-equivariant
cohomology of the loop space of the manifold on which the theory is defined. It
is proved that, in the case of $GL_n$ with standard representation, the
(Poisson or BV) bracket of two generalized Wilson loops applied to two cycles
is the same as the generalized Wilson loop applied to the string bracket of the
cycles. Generalizations to other groups are briefly described.

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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph