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

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

1999-03-30

arxiv.org/abs/hep-th/9903250v1

Commun.Math.Phys. 216 (2001) 609-634

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1007/s002200000358

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 $G$.

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