The dispersive self-dual Einstein equations and the Toda lattice

dc.creatorStrachan, I. A. B.
dc.date1996-06-17
dc.date.accessioned2026-07-07T10:58:45Z
dc.date.available2026-07-07T10:58:45Z
dc.descriptionThe Boyer-Finley equation, or $SU(\infty)$-Toda equation is both a reduction of the self-dual Einstein equations and the dispersionlesslimit of the $2d$-Toda lattice equation. This suggests that there should be a dispersive version of the self-dual Einstein equation which both contains the Toda lattice equation and whose dispersionless limit is the familiar self-dual Einstein equation. Such a system is studied in this paper. The results are achieved by using a deformation, based on an associative $\star$-product, of the algebra $sdiff(Σ^2)$ used in the study of the undeformed, or dispersionless, equations.
dc.description11 pages, LaTeX. To appear: J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/9606101
dc.identifierhttp://arxiv.org/abs/hep-th/9606101
dc.identifierJ.Phys.A29:6117-6124,1996
dc.identifierdoi:10.1088/0305-4470/29/18/036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187210
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe dispersive self-dual Einstein equations and the Toda lattice
dc.typetext

Files

Collections