3D boson representation of affine Yangian of gl(1) and 3D cut-and-join operators

DOI10.1063/5.0174191arXiv2306.17712OpenAlexW4388492853MaRDI QIDQ6064800

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Publication date: 11 December 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.17712

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• Many-body integrable systems implied by WLZZ models
• 3D bosons, 3-Jack polynomials and affine Yangian of \(\mathfrak{gl}(1) \)
• 3D bosons and \(W_{1+ \infty}\) algebra
• \((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions

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