ISSN:
1573-9333
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01017143
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