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arXiv 2108.06326hep-thhep-ph
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弦论的精确SL(K+3,C)对称性

The exact SL(K+3,C) symmetry of string theory

Sheng-Hong Lai, Jen-Chi Lee, Yi Yang

摘要:

利用弦散射振幅(SSA)的壳层上递推关系,我们证明了开玻色弦论理论的所有n点SSA都可以用Lauricella函数表示。这一结果将三个快子和一个任意弦态的四点LauricellaSSA(LSSA)的SL(K+3,C)对称性推广到整个树能级开玻色子弦论.此外,我们提出了SL(K+3,C)对称性在SSA上的三个应用。它们是所有SSA在一个振幅下的可解性、给定SSA的残基之间存在迭代关系以软化其硬散射行为以及最终硬SSA之间无限线性关系的重新推导[12]。

英文摘要:

By using on-shell recursion relation of string scattering amplitudes (SSA), we show that all n-point SSA of the open bosonic string theory can be expressed in terms of the Lauricella functions. This result extends the previous exact SL(K+3,C) symmetry of the 4-point Lauricella SSA (LSSA) of three tachyons and one arbitrary string states to the whole tree-level open bosonic string theory. Moreover, we present three applications of the SL(K+3,C) symmetry on the SSA. They are the solvability of all SSA in terms of one amplitude, the existence of iteration relations among residues of a given SSA so as to soften its hard scattering behavior and finally the re-derivation of infinite linear relations among hard SSA [12].

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