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

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

1996-11-20

arxiv.org/abs/hep-th/9611158v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex

Scientific paper

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.

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