Abstract:where A m,n (s) is a specific meromorphic function c is the central charge (not necessarily a constant), Z a is in the center of the algebra and h(n) obeys a recursion relation related to the coeffici...where A m,n (s) is a specific meromorphic function c is the central charge (not necessarily a constant), Z a is in the center of the algebra and h(n) obeys a recursion relation related to the coefficients A m,n .In fact, we show that all central extensions which respect the special structure developed here which we term a multimodule Lie-Algebra, are of this form.This result provides a mathematical foundation for non-local conformal field theories, in particular recent proposals in condensed matter in which the current has an anomalous dimension.Read More