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

Abstract

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.

11 pages, ioplppt

References in corpus (5)

• On the Classification of Modular Fusion Algebras
• On the classification of fusion rings
• Fusion potentials I
• Towards a Classification of Fusion Rule Algebras in Rational Conformal Field Theories
• The Classification of SU(m)_{k} Automorphism Invariants