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W-algebras of negative rank

1994/10/04 by K. Hornfeck · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Analytic continuation #Combinatorics #Computer science #Connection (principal bundle) #Continuation #Coset #Interior algebra #Mathematical analysis #Mathematics #Non-associative algebra #Nonlinear Waves and Solitons #Orbifold #Pure mathematics #Rank (graph theory) #hep-th

paper · pdf · doi:10.1016/0370-2693(94)01442-f

published as Phys. Lett. B343 (1995) 94-102 · 12 papes, Latex, preprint DFTT-40/94

arxiv created 1994/10/04 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recently it has been discovered that the W-algebras (orbifold of) WDn can be defined even for negative integers n by an analytic continuation of their coupling constants. In this letter we shall argue that also the algebras WA-n-1 can be defined and are finitely generated. In addition, we show that a surprising connection exists between already known W-algebras, for example between the CP(k)-models and the U(1)-cosets of the generalized Polyakov-Bershadsky-algebras.

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