Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2

2001/05/31 by Gavin Johnstone, Johnstone, Gavin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Differential operator #FOS: Physical sciences #Function (biology) #Fusion #Fusion rules #Geometry #High Energy Physics - Theory (hep-th) #Image fusion #Invariant (physics) #Mathematical functions and polynomials #Mathematical physics #Mathematics #Point (geometry) #Pure mathematics #Superalgebra #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0105321

published in arXiv (Cornell University) (Cornell University) · LaTeX, 18 pages; references added

openalex publication_date 2001/05/31 · arxiv created 2001/06/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate fusion rules for the admissible representations of the affine superalgebra sl(2|1;C) at fractional level k=-1/2 in the Ramond sector. By representing 3-point correlation functions involving a singular vector as the action of differential operators on the sl(2|1;C) invariant 3-point function, we obtain conditions on permitted quantum numbers involved. We find that in this case the primary fields close under fusion.

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