Finite growth representations of conformal Lie algebras that contain a Virasoro subalgebra (Q2438910)

In the context of two-dimensional Quantum Field Theory, a procedure that has become a standard tool is that of operator product expansion of chiral fields, stimulating a deep structuralstudy of conformal Lie algebras. In this work, the authors focus on the class of conformal subalgebras of \(\text{gc}_{N}\) that have infinite rank and further contain a Virasoro algebra. Specifically, all representations of such algebras having finite growth are classified. The results expand considerable those obtained in a previous work [J. Math. Phys. 44, No. 2, 754--770 (2003; Zbl 1061.17007)].