Supersymmetric Harmonic Maps into Symmetric Spaces

Simple item page
dc.creatorKhemar, Idrisse
dc.date2005-11-29
dc.date.accessioned2026-07-07T06:51:51Z
dc.date.available2026-07-07T06:51:51Z
dc.descriptionWe study supersymmetric harmonic maps from the point of view of integrable system. It is well known that harmonic maps from R^2 into a symmetric space are solutions of a integrable system . We show here that the superharmonic maps from R^{2|2} into a symmetric space are solutions of a integrable system, more precisely of a first elliptic integrable system in the sense of C.L. Terng and that we have a Weierstrass-type representation in terms of holomorphic potentials (as well as of meromorphic potentials). In the end of the paper we show that superprimitive maps from R^{2|2} into a 4-symmetric space give us, by restriction to R^2, solutions of the second elliptic system associated to the previous 4-symmetric space.
dc.identifierhttps://arxiv.org/abs/math/0511703
dc.identifierhttp://arxiv.org/abs/math/0511703
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105127
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleSupersymmetric Harmonic Maps into Symmetric Spaces
dc.typetext

Files

Collections

arXiv