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 |