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Automorphism group of $$k((t))$$: applications to the bosonic string. (English) Zbl 1042.14009
Summary: This paper is concerned with the formulation of a non-perturbative 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.

##### MSC:
 14H81 Relationships between algebraic curves and physics 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 14H70 Relationships between algebraic curves and integrable systems 14L05 Formal groups, $$p$$-divisible groups
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