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Affine Yangian of $\mathfrak{gl}(2)$ and integrable structures of superconformal field theory

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arxiv 2110.05870 v1 pith:5WIWB456 submitted 2021-10-12 hep-th math-phmath.MP

Elizaveta Chistyakova , Alexey Litvinov , Pavel Orlov This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords affinefieldintegrablemathfrakstructuressuperconformaltheoryyangian
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abstract

This paper is devoted to study of integrable structures in superconformal field theory and more general coset CFT's related to the affine Yangian $\textrm{Y}\big(\widehat{\mathfrak{gl}}(2)\big)$. We derive the relation between the RLL and current realizations and prove Bethe anzatz equations for the spectrum of Integrals of Motion.

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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. The ODE/IM Correspondence between $C(2)^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    WKB periods of the fully diagonalized C(2)^{(2)} Lax operator coincide with NS-sector local IoM eigenvalues of N=1 SCFT up to sixth order under a fixed parameter dictionary.

  2. Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues

    hep-th 2025-01 conditional novelty 7.0 of 10

    For quivers satisfying a no-overlap condition, flavored BPS indices are computed by crystal melting derived from Jeffrey-Kirwan residues, and new double quiver algebras are constructed whose crystal representations en...

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