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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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