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arXiv · hep-th/9401010

Quantization of string theory for $c \leq 1$

S. Kharchev·A. Marshakov
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Abstract

We consider the canonical quantization scheme for $c \leq 1$ ($(p,q)$ -) string theories and compare it with what is known from matrix model approach. We derive explicitly a trivial ($\equiv $ topological) solution. We discuss a ``dressing" operator which in principle allows one to obtain a non-trivial solution, but an explicit computation runs into a problem of analytic continuation of the formal expressions for $τ$-functions. We discuss also the application of proposed scheme to the case of discrete matrix model and consider some parallels with mirror symmetry and background independence in string theory.

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S. Kharchev, A. Marshakov. 1994-01-05. Quantization of string theory for $c \leq 1$. https://arxiv.org/abs/hep-th/9401010

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