Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory

Abstract

We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings, exhibiting the nonlinear equation generating arbitrary N-point tree amplitudes. An even closer connection between the matrix model and the conformal string theory is seen in studies of the symmetry algebra of the system.

25 pages (Phyzzx), Brown-HET-874

References in corpus (6)

• Ground Ring Of Two Dimensional String Theory
• Interaction of Discrete States in Two-Dimensional String Theory
• Classical Scattering in $1+1$ Dimensional String Theory
• Some Properties of (Non) Critical Strings
• Ward Identities in Two-Dimensional String Theory
• Bosonization of Nonrelativistic Fermions and W-infinity Algebra

Cited by in corpus (4)

• States and quantum effects in the collective field theory of a deformed matrix model
• Higher algebras and mesonic spectrum in two-dimensional QCD
• Integrable extensions of the rational and trigonometric $A_N$ Calogero Moser potentials
• 1/2-BPS Correlators as c=1 S-matrix