Bosonization of a Topological Coset Model and Non-Critical String Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, latex file, OS-GE 37-93, A footnote and a few references are added

Scientific paper

10.1142/S0217732394003774

We analyze the relation between a topological coset model based on super $SL(2,R)/U(1)$ coset and non-critical string theory by using free field realization. We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string. The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmological constant operator. We also find that another screening operator, which is intrinsic in our approach, becomes the BRST nontrivial state of ghost number $0$ (generator of the ground ring for $c=1$ gravity).

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