ABSTRACT

GoKo, KaTo, CFRS, Ad, Tr]. I. Extended conformal algebras: lZam, BaBSS I, 2, Ra\·]. In Chapter 5, \ve briefly sketch the essential features of the theory of affine Kac-Moody algebras, referring to [Ka 1] for further developments. The corresponding highest weight representation theory is also presented, in connection \vith applications to string theory and two-dimensional conformal field theorv.