On W-algebra extensions of (2,p) minimal models: p > 3

2011/01/04 by Adamovic, Drazen, Milas, Antun · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1101.0803

Abstract

This is a continuation of arXiv:0908.4053, where, among other things, we classified irreducible representations of the triplet vertex algebra W_2,3. In this part we extend the classification to W_2,p, for all odd p>3. We also determine the structure of the center of the Zhu algebra A(W_2,p) which implies the existence of a family of logarithmic modules having L(0)-nilpotent ranks 2 and 3. A logarithmic version of Macdonald-Morris constant term identity plays a key role in the paper.

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• A tensor category construction of the W_p,q triplet vertex operator algebra and applications

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