Loop Variables and the Virasoro Group

Details Loop Variables and the Virasoro Group Loop Variables and the Virasoro Group

1992-07-14

arxiv.org/abs/hep-th/9207051v1

Nucl.Phys. B405 (1993) 367-388

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, PSU/TH

Scientific paper

10.1016/0550-3213(93)90551-Y

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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