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arXiv · hep-th/9208046

Landau-Ginzburg Topological Theories in the Framework of GKM and Equivalent Hierarchies

S. Kharchev·A. Marshakov·A. Mironov·A. Morozov
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Abstract

We consider the deformations of ``monomial solutions'' to Generalized Kontsevich Model \cite{KMMMZ91a,KMMMZ91b} and establish the relation between the flows generated by these deformations with those of $N=2$ Landau-Ginzburg topological theories. We prove that the partition function of a generic Generalized Kontsevich Model can be presented as a product of some ``quasiclassical'' factor and non-deformed partition function which depends only on the sum of Miwa transformed and flat times. This result is important for the restoration of explicit $p-q$ symmetry in the interpolation pattern between all the $(p,q)$-minimal string models with $c<1$ and for revealing its integrable structure in $p$-direction, determined by deformations of the potential. It also implies the way in which supersymmetric Landau-Ginzburg models are embedded into the general context of GKM. From the point of view of integrable theory these deformations present a particular case of what is called equivalent hierarchies.

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S. Kharchev, A. Marshakov, A. Mironov, A. Morozov. 1992-09-12. Landau-Ginzburg Topological Theories in the Framework of GKM and Equivalent Hierarchies. https://doi.org/10.1007/bf01017143

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