Landau-Ginzburg topological theories in the framework of GKM and equivalent hierarchies

Kharchev, S.; Marshakov, A.; Mironov, A.; Morozov, A.

doi:10.1007/BF01017143

Landau-Ginzburg topological theories in the framework of GKM and equivalent hierarchies

Jul, 1992

13 pages

Published in:

Mod.Phys.Lett.A 8 (1993) 1047-1062,
Theor.Math.Phys. 95 (1993) 571-582,
Teor.Mat.Fiz. 95 (1993) 280-292

e-Print:

hep-th/9208046 [hep-th]

DOI:

10.1007/BF01017143

Report number:

FIAN-TD-7-92,
ITEP-M-5-92

View in:

pdf

reference search57 citations

Citations per year

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.

Note: