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W-algebras and integrability

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arxiv 2402.10016 v1 pith:NWNB6J6U submitted 2024-02-15 hep-th math-phmath.MP

Tomáš Procházka This is my paper
classification hep-thmath-phmath.MP
keywords integrabilitymathcalalgebrascontributionsfamilyfocusinggivennon-technical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

This is a short non-technical review focusing on the $\mathcal{W}_N$ family of $\mathcal{W}$-algebras and on their relation to quantum integrability. It is a summary of recently given seminars and workshop contributions.

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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. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

  2. Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations

    hep-th 2025-12 conditional novelty 5.0 of 10

    Tensionless p-branes and branes in degenerate-metric spacetimes admit symmetry transformations built from Killing tensors of arbitrary rank, extending string W-symmetries to all brane dimensions.

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