Which algebra plays a crucial role in Two-Dimensional Conformal Field Theory?

The Virasoro algebra is a crucial mathematical structure in Two-Dimensional Conformal Field Theory (CFT). It is a Lie algebra that describes the symmetries of CFT, particularly the infinitesimal conformal transformations. The Virasoro algebra consists of a set of generators and commutation relations that encode the symmetry properties of the theory. By studying the properties of the Virasoro algebra, researchers can understand the geometric and algebraic aspects of CFT, including the transformation properties of correlation functions and the classification of primary fields.