HYPER-KAHLER METRICS BUILDING AND INTEGRABLE MODELS

Authors
SAIDI EH SEDRA MB
Citation
Eh. Saidi et Mb. Sedra, HYPER-KAHLER METRICS BUILDING AND INTEGRABLE MODELS, Modern physics letters A, 9(34), 1994, pp. 3163-3173
Citations number
15
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
9
Issue
34
Year of publication
1994
Pages
3163 - 3173
Database
ISI
SICI code
0217-7323(1994)9:34<3163:HMBAIM>2.0.ZU;2-G
Abstract
Methods developed for the analysis of integrable systems are used to s tudy the problem of hyper-Kahler metrics building as formulated in D = 2, N = 4 supersymmetric harmonic superspace. We show in particular th at the constraint equation betapartial-derivative++2omega - xi++2 exp 2betaomega = 0 and its Toda-like generalizations are integrable. Expli cit solutions together with the conserved currents generating the symm etry responsible for the integrability of these equations are given. O ther features are also discussed.