On the Large N Limit of Conformal Field Theory

Details On the Large N Limit of Conformal Field Theory On the Large N Limit of Conformal Field Theory

2002-08-21

arxiv.org/abs/hep-th/0208150v2

Annals Phys. 303 (2003) 321-358

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, fixed typos and added references

Scientific paper

10.1016/S0003-4916(03)00002-2

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 {\it affine free algebra} which describes a large N limit of su(N) affine Lie algebra. Other results include the associated {\it free-algebraic partition functions and characters}, a free-algebraic coset construction, free- algebraic construction of osp(1|2), {\it 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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