HyperKhaler Metrics Building and Integrable Models

Details HyperKhaler Metrics Building and Integrable Models HyperKhaler Metrics Building and Integrable Models

2005-12-18

arxiv.org/abs/hep-th/0512220v1

Mod.Phys.Lett. A9 (1994) 3163-3174

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 12 pages

Scientific paper

10.1142/S0217732394002987

Methods developed for the analysis of integrable systems are used to study the problem of hyperK\"ahler metrics building as formulated in D=2 N=4 supersymmetric harmonic superspace. We show, in particular, that the constraint equation $\beta\partial^{++2}\omega -\xi^{++2}\exp 2\beta\omega =0$ and its Toda like generalizations are integrable. Explicit solutions together with the conserved currents generating the symmetry responsible of the integrability of these equations are given. Other features are also discussed

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