Title: KN Algebra Derived from Virasoro Algebra with Vertex Operators
Abstract:By using the Virasoro algebra with vertex operators we derive the Krichever-Novikov (KN) algebra with vertex operators on hegher-genus Riemann surface Γ. We find that the cocycles χ ij appearing in th...By using the Virasoro algebra with vertex operators we derive the Krichever-Novikov (KN) algebra with vertex operators on hegher-genus Riemann surface Γ. We find that the cocycles χ ij appearing in the KN algebra do not have the Schwarzian connection. The "interacting" BRST charge and its associated algebra on Γ are also given.Read More