Colliding String Waves and Duality

Abstract

The collision of plane waves corresponding to massless states of closed string is considered in $D$-dimensional space-time. The reduced tree level effective action is known to be manifestly $O(d,d)$ invariant, $d$ being the number of transverse spatial dimensions in the collision process. We adopt a coset space reformulation of the effective two dimensional theory and discuss the relation of this process with classical integrable systems in two dimensions in the presence of gravity. We show how it is possible to generate new backgrounds for the scattering process, from known background solutions to the equations of motion, in the coset reformulation. We present explicit calculations for the case of four space-time dimensions as an illustrative example.

14 pages

References in corpus (1)

• Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models

Cited by in corpus (6)

• Duality and Integrability of Two Dimensional String Effective Action
• Duality, Monodromy and Integrability of Two Dimensional String Effective Action
• Colliding Plane Waves in String Theory
• W(E_10) Symmetry, M-Theory and Painleve Equations
• Higher Dimensional Bell-Szekeres Metric
• Higher Dimensional Metrics of Colliding Gravitational Plane Waves