Algebraic-geometrical n-orthogonal curvilinear coordinate systems and solutions to the associativity equations

  title={Algebraic-geometrical n-orthogonal curvilinear coordinate systems and solutions to the associativity equations},
  author={I. Krichever},
  • I. Krichever
  • Published 2008
Algebraic-geometrical n-orthogonal curvilinear coordinate systems in a flat space are constructed. They are expressed in terms of the Riemann theta function of auxiliary algebraic curves. The exact formulae for the potentials of algebraic geometrical Egoroff metrics and the partition functions of the corresponding topological field theories are obtained. ∗Department of Mathematics of Columbia University and Landau Institute for Theoretical Physics, Kosygina str. 2, 117940 Moscow, Russia 

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