Automorphism Group of $k((t))$: Applications to the Bosonic String

Abstract

This paper is concerned with the formulation of a non-pertubative theory of the bosonic string. We introduce a formal group $G$ which we propose as the ``universal moduli space'' for such a formulation. This is motivated because $G$ establishes a natural link between representations of the Virasoro algebra and the moduli space of curves. Among other properties of $G$ it is shown that a ``local'' version of the Mumford formula holds on $G$.

29 pages

Cited by in corpus (4)

• Continuous homomorphisms between algebras of iterated Laurent series over a ring
• Algebraic Solutions of the Multicomponent KP Hierarchy
• Algebro-Geometric Solutions of the Generalized Virasoro Constraints
• W-Symmetry of the Adelic Grassmannian