Loop Variables and the Virasoro Group

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.

23 pages, PSU/TH

Cited by in corpus (6)

• Loop Variables in String Theory
• Some Issues In The Loop Variable Approach to Open Strings and an Extension to Closed Strings
• Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String
• Loop Variables and Gauge Invariant Interactions - I
• Loop Variables and Gauge Invariant Interactions - II
• Exact Renormalization Group and Loop Variables: A Background Independent Approach to String Theory