A construction of admissible A₁⁽¹⁾-modules of level -4/3

2004/01/05 by Drazen Adamovic, Adamovic, Drazen · 1 citation
Mathematics · Physics and Astronomy · #17B67 #17B69 #81R10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math-ph #math.MP #math.QA #math.RT #msc:17B67 #msc:17B69 #msc:81R10

paper · pdf · doi:10.48550/arxiv.math/0401023

16 pages; Latex; minor changes; added references

arxiv created 2004/02/03 · arxiv updated 2009/12/01

Abstract

By using generalized vertex algebras associated to rational lattices, we construct explicitly the admissible modules for the affine Lie algebra A₁ ⁽¹⁾ of level -4/3. As an application, we show that the W(2,5) algebra with central charge c=-7 investigated in math.QA/0207155 is a subalgebra of the simple affine vertex operator algebra L(-4/3Λ₀).

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• Classification of irreducible highest weight modules for the parafermion vertex algebras N_k(\mathfraksl₂) at arbitrary level

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