Automorphism group of \(k((t))\): applications to the bosonic string. (English) Zbl 1042.14009

Muñoz Porras, J. M.; Plaza Martín, F. J.

Commun. Math. Phys. 216, No. 3, 609-634 (2001).

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

Keywords:

universal moduli space; formal group scheme; non-perturbative theory; bosonic string; Virasoro algebra