Symmetries of the Bosonic String S-Matrix

Abstract

The bracket operation on mutually local BRST classes may be combined with Lorentz invariance and analyticity to write an infinite set of finite difference relations on string scattering amplitudes. When combined with some simple physical criteria these relations uniquely determine the genus zero string $S$-matrix for $N\le 26$-particle scattering in $\IR^{25,1}$ in terms of a single parameter, $\kappa$, the string coupling. We propose that the high-energy limit of the relations are the Ward identities for the high-energy symmetries of string theory.

37pp.,YCTP-P19-93. (Important revision: An error has been fixed and the conclusions altered. The analysis only applies in a straightforward way to $N$-particle scattering for $N\le 26$.)

References in corpus (5)

• Algebraic Structures and Differential Geometry in 2D String Theory
• Finite in All Directions
• Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter
• The Master Equation of 2D String Theory
• Correlation functions from two-dimensional string Ward identities

Cited by in corpus (21)

• Algebras, BPS States, and Strings
• Very-extended Kac-Moody algebras and their interpretation at low levels
• Patterns of High energy Massive String Scatterings in the Regge regime
• Physical States and String Symmetries
• Comments on the high energy limit of bosonic open string theory
• High Energy String Collisions in a Compact Space
• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• Tensionless strings, correspondence with SO(D,D) sigma model
• The Lauricella Functions and Exact String Scattering Amplitudes
• String theory in target space
• Propagating modes of non-Abelian tensor gauge field of second rank
• The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes
• Solving Lauricella String Scattering Amplitudes through Recurrence Relations
• To see Symmetry in a Forest of Trees
• Addendum to: ``Symmetries of the Bosonic String S-Matrix,''
• Tensor gauge boson production in high energy collisions
• Gauge fields-strings duality and tensionless superstrings
• Quantum Hair on D-branes and Black Hole Information in String Theory
• Production of charged spin-two gauge bosons in gluon-gluon scattering
• Bracket Symmetries of the Classical N=1 String
• Residues of bosonic string scattering amplitudes and the Lauricella functions