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

· 1997 · q-alg · arXiv q-alg/9708008

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abstract

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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Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories

math.QA · 2026-06-23 · unverdicted · novelty 7.0

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 shows the algebras are fermionic simple-current extensions of prior even versions wi

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  • Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories math.QA · 2026-06-23 · unverdicted · none · ref 85 · internal anchor

    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 shows the algebras are fermionic simple-current extensions of prior even versions wi