Which mathematical structure is essential for describing symmetries in CFT?

Group theory provides the mathematical framework for understanding symmetries in Two-Dimensional Conformal Field Theory (CFT). Symmetries in CFT are often described by groups of transformations that leave the theory invariant. These transformation groups can be analyzed using group theory, which studies the algebraic structures of symmetry operations. By applying group theory techniques, researchers can classify symmetries, identify symmetry-breaking patterns, and investigate the consequences of symmetry constraints in CFT.