Generalized integrability conditions and target space geometry

Abstract

In some higher dimensional nonlinear field theories integrable subsectors with infinitely many conservation laws have been identified by imposing additional integrability conditions. Originally, the complex eikonal equation was chosen as integrability condition, but recently further generalizations have been proposed. Here we show how these new integrability conditions may be derived from the geometry of the target space and, more precisely, from the Noether currents related to a certain class of target space transformations.

14 pages, Latex

References in corpus (2)

• Generalized Eikonal Knots and New Integrable Dynamical Systems
• Symmetries of generalized soliton models and submodels on target space $S^2$

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