Target Space Pseudoduality Between Dual Symmetric Spaces

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.

LaTeX, 20 pages. Added an important reference and a section discussing some earlier work by E.A. Ivanov

References in corpus (2)

• Target Space Duality I: General Theory
• Hamiltonian Approach to Poisson Lie T-Duality

Cited by in corpus (11)

• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Pseudoduality in Sigma Models
• Hamiltonian Loop Group Actions and T-Duality for group manifolds
• Pseudoduality and Conserved Currents in Sigma Models
• Pseudoduality Between Symmetric Space Sigma Models
• Pseudoduality in Supersymmetric Sigma Models
• Euclidean Pseudoduality and Boundary Conditions in Sigma Models
• Pseudoduality in Supersymmetric Sigma Models on Symmetric Spaces
• Target Space Duality III: Potentials
• Pseudoduality and Complex Geometry in Sigma Models
• Target Space Duality: The Dilaton Field