1998/12/31 by P. Mathieu, M. A. Walton, M.A. Walton
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00252-7
published as Nucl.Phys. B553 (1999) 533-558 · Harvmac (b mode : 32 p; l mode: 36 p), 5 figures, some minor reformulations, references added and typos corrected
arxiv created 1999/02/22 · openalex publication_date 1999/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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 Ar(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.