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arXiv 1806.05033hep-thhep-ph
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玻色弦散射振幅的SL(K+3,C)对称性

The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes

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

摘要:

我们发现,在26维开玻色子弦论理论中,三个快子和一个任意弦态的精确弦散射振幅(SSA),或称Lauricella SSA(LSSA),可以用SL(K+3,C)群的无限维表示空间中的基函数表示.此外,我们还发现,作者以前发现的LSSA之间的K+2递归关系可以用来再生秩为K+2的SL(K+3,C)群的Cartan子代数和单根系.因此,SL(K+3,C)群可以用来求解所有的LSSA,并将它们表示为一个振幅。SL(K+3,C)群作为硬散射极限的应用,可以直接证明Gross猜想[1-3],而Gross猜想[4-10]是用零模态解耦的方法修正和证明的。

英文摘要:

We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group. In addition, we find that the K+2 recurrence relations among the LSSA discovered by the present authors previously can be used to reproduce the Cartan subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a result, the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude. As an application in the hard scattering limit, the SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was previously corrected and proved by the method of decoupling of zero norm states [4-10].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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