Target Space Pseudoduality Between Dual Symmetric Spaces

TL;DR

This paper introduces a duality transformation between strings on symmetric spaces with opposite curvatures, mapping wave solutions to dual wave solutions and particle-like solutions to solitons, preserving energy-momentum tensor.

Contribution

It proposes a new set of on-shell duality equations that generalize previous work, establishing a map between dual symmetric spaces with implications for string solutions.

Findings

Maps waves on symmetric spaces to waves on dual spaces

Preserves energy-momentum tensor despite not being canonical

Transforms particle-like solutions into static solitons

Abstract

A set of on shell duality equations is proposed that leads to a map between strings moving on symmetric spaces with opposite curvatures. The transformation maps "waves" on a riemannian symmetric space to "waves" on its dual riemannian symmetric space. This transformation preserves the energy momentum tensor though it is not a canonical transformation. The preservation of the energy momentum tensor has a natural geometrical interpretation. The transformation maps "particle-like solutions" into static "soliton-like solutions". The results presented here generalize earlier results of E. Ivanov.