Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integration over families of Lagrangian submanifolds in BV formalism   Gauge fixing is interpreted in BV formalism as a choice of Lagrangian
submanifold in an odd symplectic manifold. A natural construction defines an
integration procedure on families of Lagrangian submanifolds. In string
perturbation theory, the moduli space integrals of higher genus amplitudes can
be interpreted in this way. We discuss the role of gauge symmetries in this
construction. We derive the conditions which should be imposed on gauge
symmetries for the consistency of our integration procedure. We explain how
these conditions behave under the deformations of the worldsheet theory. In
particular, we show that integrated vertex operator is actually an
inhomogeneous differential form on the space of Lagrangian submanifolds.

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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys