Quantization of string theory for $c \leq 1$

Details Quantization of string theory for $c \leq 1$ Quantization of string theory for $c \leq 1$

1994-01-05

arxiv.org/abs/hep-th/9401010v1

Physics

High Energy Physics

High Energy Physics - Theory

(talk given by A.M. at the $XXVII$th International Symposium on Elementary particle physics, Wendisch-Rietz, Germany (Septembe

Scientific paper

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 $\tau $-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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