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arXiv · 1811.08755

Strong generators of the subregular W-algebra and combinatorial description at critical level

Naoki Genra·Toshiro Kuwabara
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Abstract

We construct explicitly strong generators of the affine $\mathcal{W}$-algebra $\mathcal{W}^{K-N}(\mathfrak{sl}_N, f_{sub})$ of subregular type $A$. Moreover, we are able to describe the OPEs between them at critical level. We also give a description the affine $\mathcal{W}$-algebra $\mathcal{W}^{-N}(\mathfrak{sl}_N, f_{sub})$ in terms of certain fermionic fields, which was conjectured by Adamovi\'{c}.

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BibTeXRIS

Naoki Genra, Toshiro Kuwabara. 2018-11-21. Strong generators of the subregular W-algebra and combinatorial description at critical level. https://doi.org/10.1007/s11005-019-01211-w

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