標題: The SL(K+3, C) symmetry of the bosonic string scattering amplitudes
作者: Lai, Sheng-Hong
Lee, Jen-Chi
Yang, Yi
電子物理學系
Department of Electrophysics
公開日期: 1-四月-2019
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]. (C) 2019 The Author(s). Published by Elsevier B.V.
URI: http://dx.doi.org/10.1016/j.nuclphysb.2019.02.013
http://hdl.handle.net/11536/151647
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2019.02.013
期刊: NUCLEAR PHYSICS B
Volume: 941
起始頁: 53
結束頁: 71
顯示於類別:期刊論文