To see Symmetry in a Forest of Trees

Abstract

The exact symmetry identities among four-point tree-level amplitudes of bosonic open string theory as derived by G. W. Moore are re-examined. The main focuses of this work are: (1) Explicit construction of kinematic configurations and a new polarization basis for the scattering processes. These setups simplify greatly the functional forms of the exact symmetry identities, and help us to extract easily high-energy limits of stringy amplitudes appearing in the exact identities. (2) Connection and comparison between D. J. Gross's high-energy stringy symmetry and the exact symmetry identities as derived by G. W. Moore. (3) Observation of symmetry patterns of stringy amplitudes with respect to the order of energy dependence in scattering amplitudes.

56 pages; v2. Typos corrected. Minor changes; v3. Reorganized the structure and eliminate verbose expressions. References added. Added words of introduction to each section; v4. Reorganized and streamlined significantly. Version to appear in Nucl.Phys.B

References in corpus (4)

• Patterns of High energy Massive String Scatterings in the Regge regime
• Notes on High Energy Limit of Bosonic Closed String Scattering Amplitudes
• Linear relations among 4-point functions in the high energy limit of string theory
• BCFW Deformation and Regge Limit

Cited by in corpus (5)

• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• The Lauricella Functions and Exact String Scattering Amplitudes
• The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes
• Solving Lauricella String Scattering Amplitudes through Recurrence Relations
• Residues of bosonic string scattering amplitudes and the Lauricella functions