Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lauricella Functions and Exact String Scattering Amplitudes   We discover that the 26D open bosonic string scattering amplitudes (SSA) of
three tachyons and one arbitrary string state can be expressed in terms of the
D-type Lauricella functions with associated SL(K+3,C) symmetry. As a result,
SSA and symmetries or relations among SSA of different string states at various
limits calculated previously can be rederived. These include the linear
relations first conjectured by Gross [1-3] and later corrected and proved in
[4-9] in the hard scattering limit, the recurrence relations in the Regge
scattering limit with associated SL(5,C) symmetry [19-21] and the extended
recurrence relations in the nonrelativistic scattering limit with associated
SL(4,C) symmetry [24] discovered recently. Finally, as an application, we
calculate a new recurrence relation of SSA which is valid for all energies.

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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci