A novel realization of the Virasoro algebra in number state space (original) (raw)

A realization of the Virasoro algebra in the universal envelope of su(1,1) is presented, focusing on its application within quantum computing and the structure of topological quantum field theory. The paper bridges diffeomorphisms and quantum mechanics, highlighting the advantages of using the discrete positive series irreducible unitary representation for describing conformal vector fields on a d-manifold. The proposed framework aims to simplify the analysis of quantum dynamics while preserving essential algebraic properties.