Vector bundles and Lax equations on algebraic curves

Details Vector bundles and Lax equations on algebraic curves Vector bundles and Lax equations on algebraic curves

2001-08-15

arxiv.org/abs/hep-th/0108110v1

Commun.Math.Phys. 229 (2002) 229-269

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 42pages

Scientific paper

10.1007/s002200200659

The Hamiltonian theory of zero-curvature equations with spectral parameter on an arbitrary compact Riemann surface is constructed. It is shown that the equations can be seen as commuting flows of an infinite-dimensional field generalization of the Hitchin system. The field analog of the elliptic Calogero-Moser system is proposed. An explicit parameterization of Hitchin system based on the Tyurin parameters for stable holomorphic vector bundles on algebraic curves is obtained.

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