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On string field theory for $C \leq 1$

A. Marshakov
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Abstract

I present a short review of our results with S.Kharchev, A.Mironov, A.Morozov and A.Zabrodin on Generalized Kontsevich model which in a sense can be interpreted as unifying ``string field theory'' for $c < 1$ minimal series coupled to 2d gravity. The problem of interpolation between different models is discussed. It is found that this problem is closely connected with ``deformations'' within the set of solutions to KP hierarchy, described by a sort of reparameterization of a spectral curve and change of asymptotics of the basis in the Grassmannian. The $c \rightarrow 1$ limit is considered along this line.

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A. Marshakov. 1992-10-13. On string field theory for $C \leq 1$. https://arxiv.org/abs/hep-th/9208022

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