Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations

We construct twisted Calogero–Moser systems with spins as Hitchin systems derived from the Higgs bundles over elliptic curves, where the transition operators are defined by arbitrary finite-order automorphisms of the underlying Lie algebras. We thus obtain a spin generalization of the twisted D’Hoke...

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Veröffentlicht in:	Theoretical and mathematical physics 2016-08, Vol.188 (2), p.1121-1154
Hauptverfasser:	Levin, A. M., Olshanetsky, M. A., Zotov, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Applications of Mathematics Automorphisms Bundles Curves Lie groups Mathematical analysis Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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