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dc.contributor.authorLee, Jen-Chien_US
dc.contributor.authorYang, Yien_US
dc.date.accessioned2019-10-05T00:08:44Z-
dc.date.available2019-10-05T00:08:44Z-
dc.date.issued2019-08-01en_US
dc.identifier.urihttp://dx.doi.org/10.3390/sym11081045en_US
dc.identifier.urihttp://hdl.handle.net/11536/152844-
dc.description.abstractIn this paper, we studied symmetries of string scattering amplitudes in the high energy limits of both the fixed angle or Gross regime (GR) and the fixed momentum transfer or Regge regime (RR). We calculated high energy string scattering amplitudes (SSA) at arbitrary mass levels for both regimes. We discovered the infinite linear relations among fixed angle string amplitudes and the ifinite recurrence relations among Regge string amplitudes. The linear relations we obtained in the GR corrected the saddle point calculations by Gross, Gross and Mende. In addition, for the high energy closed string scatterings, our results differ from theirs by an oscillating prefactor which was crucial to recover the KLT relation valid for all energies. We showed that all the high energy string amplitudes can be solved using the linear or recurrence relations, so that all the string amplitudes can be expressed in terms of a single string amplitude. We further found that, at each mass level, the ratios among the fixed angle amplitudes can be extracted from the Regge string scattering amplitudes. Finally, we reviewed the recent developments on the discovery of infinite number of recurrence relations valid for all energies among Lauricella SSA. The symmetries or relations among SSA at various limits obtained previously can be exactly reproduced. It leads us to argue that the known SL(K+3,C) dynamical symmetry of the Lauricella function may be crucial to probe spacetime symmetry of string theory.en_US
dc.language.isoen_USen_US
dc.subjectsymmetries of stringsen_US
dc.subjecthard string scattering amplitudesen_US
dc.subjectregge string scattering amplitudesen_US
dc.subjecthigh energy limitsen_US
dc.subjectzero norm statesen_US
dc.subjectlinear relationsen_US
dc.subjectrecurrence relationsen_US
dc.titleOverview of High Energy String Scattering Amplitudes and Symmetries of String Theoryen_US
dc.typeArticleen_US
dc.identifier.doi10.3390/sym11081045en_US
dc.identifier.journalSYMMETRY-BASELen_US
dc.citation.volume11en_US
dc.citation.issue8en_US
dc.citation.spage0en_US
dc.citation.epage0en_US
dc.contributor.department電子物理學系zh_TW
dc.contributor.departmentDepartment of Electrophysicsen_US
dc.identifier.wosnumberWOS:000483559300091en_US
dc.citation.woscount0en_US
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