Abstract
We show that the bi-hamiltonian structure of the averaged Gelfand-Dikii hierarchy is involved in the Landau-Ginsburg topological models (forA n -Series): the Casimirs for the first P.B. give the correct coupling parameters for the perturbed topological minimal model; the correspondence {coupling parameters}→{primary fields} is determined by the second P.B. The partition function (at the tree level) and the chiral algebra for LG models are calculated for any genusg.
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Communicated by N. Yu. Reshetikhin
Address for 1991/1992 acad. year: Universitá degli Studi di Napoli, Dipartimento di Scienze Fisiche-Mostra d'Oltremare, Pad. 19, I-80125 Napoli, Italy. Fax (39) 81-7253449
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Dubrovin, B.A. Hamiltonian formalism of Whitham-type hierarchies and topological Landau-Ginsburg models. Commun.Math. Phys. 145, 195–207 (1992). https://doi.org/10.1007/BF02099286
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DOI: https://doi.org/10.1007/BF02099286