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Hamiltonian formalism of Whitham-type hierarchies and topological Landau - Ginsburg models

TitleHamiltonian formalism of Whitham-type hierarchies and topological Landau - Ginsburg models
Publication TypeJournal Article
Year of Publication1992
AuthorsDubrovin, B
JournalCommunications in Mathematical Physics. Volume 145, Issue 1, March 1992, Pages 195-207
Abstract

We show that the bi-hamiltonian structure of the averaged Gelfand-Dikii\\r\\nhierarchy is involved in the Landau-Ginsburg topological models (for An-Series):\\r\\nthe Casimirs for the first P.B. give the correct coupling parameters for the perturbed\\r\\ntopological minimal model; the correspondence {coupling parameters} ~ {primary\\r\\nfields} is determined by the second P.B. The partition function (at the tree level) and\\r\\nthe chiral algebra for LG models are calculated for any genus g.

URLhttp://hdl.handle.net/1963/6476
DOI10.1007/BF02099286

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