On fusion algebra of chiral $SU(N)_{k}$ models

Details On fusion algebra of chiral $SU(N)_{k}$ models On fusion algebra of chiral $SU(N)_{k}$ models

1998-08-24

arxiv.org/abs/solv-int/9808013v1

J.Phys.A: Math. Gen. 30 (1997) 5123-5131

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, ioplppt

Scientific paper

10.1088/0305-4470/30/14/021

We discuss some algebraic setting of chiral $SU(N)_{k}$ models in terms of
the statistical dimensions of their fields. In particular, the conformal
dimensions and the central charge of the chiral $SU(N)_{k}$ models are
calculated from their braid matrices. Futhermore, at level K=2, we present the
characteristic polynomials of their fusion matrices in a factored form.

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