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arxiv: hep-th/9312208 · v2 · submitted 1993-12-30 · ✦ hep-th

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Eigensystem and Full Character Formula of the W_{1+infinity} Algebra with c=1

H. Awata , M. Fukuma , S. Odake , Y.-H. Quano
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classification ✦ hep-th
keywords infinityalgebracharacterformulafullanalyzecartandiagrams
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By using the free field realizations, we analyze the representation theory of the W_{1+infinity} algebra with c=1. The eigenvectors for the Cartan subalgebra of W_{1+infinity} are parametrized by the Young diagrams, and explicitly written down by W_{1+infinity} generators. Moreover, their eigenvalues and full character formula are also obtained.

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  1. Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble

    hep-th 2026-03 unverdicted novelty 7.0

    Exact modular S-transforms are derived for GGEs in the symplectic fermion theory, agreeing with conjectures for the W3 zero mode and mirroring free-fermion results for the KdV subset.