Equations of Associativity in Two-Dimensional Topological Field Theory as Integrable Hamiltonian Nondiagonalizable Systems of Hydrodynamic Type

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dc.creatorMokhov, Oleg
dc.creatorFerapontov, Eugene
dc.date1995-05-30
dc.date.accessioned2026-07-07T04:21:12Z
dc.date.available2026-07-07T04:21:12Z
dc.descriptionEquations of associativity in two-dimensional topological field theory (they are known also as the Witten-Dijkgraaf-H.Verlinde-E.Verlinde (WDVV) system) are represented as an example of the general theory of integrable Hamiltonian nondiagonalizable (i.e., do not possessing Riemann invariants) systems of hydrodynamic type. A corresponding local nondegenerate Hamiltonian structure of hydrodynamic type (Poisson bracket of Dubrovin-Novikov type) is found. For n=3 the equations of associativity are reduced to the integrable three wave system by a chain of explicit transformations. Any solution of the integrable three wave system generates solutions of the equations of associativity. Explicit Bäcklund type transformations connecting solutions of different equations of associativity are found.
dc.description15 pages, plain tex
dc.identifierhttps://arxiv.org/abs/hep-th/9505180
dc.identifierhttp://arxiv.org/abs/hep-th/9505180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54221
dc.subjectHigh Energy Physics - Theory
dc.titleEquations of Associativity in Two-Dimensional Topological Field Theory as Integrable Hamiltonian Nondiagonalizable Systems of Hydrodynamic Type
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