\((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions

DOI10.1016/j.nuclphysb.2023.116283zbMath1529.81078arXiv2303.00552MaRDI QIDQ6173610

Andrei Mironov, Alexander Popolitov, Wei-Zhong Zhao, Fan Liu, Rui Wang, A. Yu. Morozov, V. Mishnyakov

Publication date: 21 July 2023

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.00552

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (4)

Commutative subalgebras from Serre relations ⋮ Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮ 3D boson representation of affine Yangian of gl(1) and 3D cut-and-join operators ⋮ 3-Schurs from explicit representation of Yangian \(Y(\hat{\mathfrak{gl}}_1)\). Levels 1--5

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