Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Light-cone reduction of Witten's open string field theory   We elucidate some exact relations between light-cone and covariant string
field theories on the basis of the homological perturbation lemma for
$A_{\infty }$. The covariant string field splits into the light-cone string
field and trivial excitations of BRST quartets: The latter generates the gauge
symmetry and covariance. We first show that the reduction of gauge degrees can
be performed by applying the lemma, which gives a refined version of the
no-ghost theorem of covariant strings. Then, we demonstrate that after the
reduction, gauge-fixed theory can be regarded as a kind of effective field
theory and it provides an exact gauge-fixing procedure taking into account
interactions. As a result, a novel light-cone string field theory is obtained
from Witten's open string field theory.

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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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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: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat