Abstract
We consider the deformations of “monomial solutions” to the Generalized Kontsevich Model [1, 2] 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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Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 95, No. 2, pp. 280–292, May, 1993.
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Kharchev, S., Marshakov, A., Mironov, A. et al. Landau-Ginzburg topological theories in the framework of GKM and equivalent hierarchies. Theor Math Phys 95, 571–582 (1993). https://doi.org/10.1007/BF01017143
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DOI: https://doi.org/10.1007/BF01017143