On Principal Admissible Representations and Conformal Field Theory

Details On Principal Admissible Representations and Conformal Field Theory On Principal Admissible Representations and Conformal Field Theory

1998-12-21

arxiv.org/abs/hep-th/9812192v2

Nucl.Phys. B553 (1999) 533-558

Physics

High Energy Physics

High Energy Physics - Theory

Harvmac (b mode : 32 p; l mode: 36 p), 5 figures, some minor reformulations, references added and typos corrected

Scientific paper

10.1016/S0550-3213(99)00252-7

The principal admissible representations of affine Kac-Moody algebras are studied, with a view to their use in conformal field theory. We discuss the generation of the set of principal admissible highest weights, concentrating mainly on $A_r^{(1)}$ at rational level $k$. A related algorithm is described that produces the Malikov-Feigen-Fuchs null vectors of these representations. With the principal admissible description of the highest weights, we are able to prove that field identifications (including maverick ones) lead to the canonical description of the primary fields of the nonunitary diagonal coset theories.

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