On the Large N Limit of Conformal Field Theory
Abstract
Following recent advances in large N matrix mechanics, I discuss here the free (Cuntz) algebraic formulation of the large N limit of two-dimensional conformal field theories of chiral adjoint fermions and bosons. One of the central results is a new affine free algebra which describes a large N limit of su(N) affine Lie algebra. Other results include the associated free-algebraic partition functions and characters, a free-algebraic coset construction, free- algebraic construction of osp(1|2), free-algebraic vertex operator constructions in the large N Bose systems and a provocative new free-algebraic factorization of the ordinary Koba-Nielsen factor.
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