W-algebras related to parafermion algebras

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arxiv 0809.3630 v1 pith:TUVWB26C submitted 2008-09-22 math.QA

Chongying Dong , Ching Hung Lam , Hiromichi Yamada This is my paper · ORCID

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keywords algebrascentralchargegreaterintegerparafermionpositiverelated

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We study a W-algebra of central charge 2(k-1)/(k+2) with k a positive integer greater than 1

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On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra
math.QA 2024-11 conditional novelty 7.0 of 10

The subregular W-algebra W_{-1}(sl4,f_sub) and the N=2 superconformal algebra at c=-15 are shown to be Kazama-Suzuki dual, giving a complete classification of irreducible highest-weight W_{-1}(sl4,f_sub)-modules.