Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-08-19
Mod.Phys.Lett.A8:1047-1062,1993; Theor.Math.Phys.95:571-582,1993
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, FIAN/TD-7/92 & ITEP-M-5/92, improved version
Scientific paper
10.1007/BF01017143
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.
Kharchev S.
Marshakov Andrei
Mironov Aleksej
Morozov Alexander
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