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arXiv · hep-th/9207051

Loop Variables and the Virasoro Group

B. Sathiapalan
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Abstract

We derive an expression in closed form for the action of a finite element of the Virasoro Group on generalized vertex operators. This complements earlier results giving an algorithm to compute the action of a finite string of generators of the Virasoro Algebra on generalized vertex operators. The main new idea is to use a first order formalism to represent the infinitesimal group element as a loop variable. To obtain a finite group element it is necessary to thicken the loop to a band of finite thickness. This technique makes the calculation very simple.

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B. Sathiapalan. 1992-07-14. Loop Variables and the Virasoro Group. https://doi.org/10.1016/0550-3213(93)90551-y

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