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W{1+ \infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization

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arxiv q-alg/9708008 v1 pith:CJNTWBCR submitted 1997-08-07 q-alg hep-thmath.QA

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keywords algebracentralchargefreefullinftymodulesvertex
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We show that the vertex algebra W{1+ \infty} with central charge -1 is isomorphic to a tensor product of the simple W_3 algebra with central charge -2 and a Heisenberg vertex algebra generated by a free bosonic field. We construct a family of irreducible modules of the W_3 algebra with central charge -2 in terms of free fields and calculate the full character formulas of these modules with respect to the full Cartan subalgebra of the W_3 algebra.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories

    math.QA 2026-06 unverdicted novelty 7.0 of 10

    Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and s...

  2. 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.

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