Wednesday, April 16, 2003

The Krichever-Novikov algebras as universal intertwiners

Abstract: A conformal field theory in the sense of Segal includes
both a skew-hermitian representation of the Lie algebra of infinitesimal
diffeomorphisms of the circle and a trace-class representation of a semigroup
of Riemann surfaces with two boundary components. The Krichever-Novikov
algebras intertwine these two structures, and also suggest the appropriate
direction for the supersymmetric generalization.for conformal field theory.