Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations
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Publication:1636295
DOI10.1007/JHEP10(2016)047zbMath1390.81221arXiv1608.05351MaRDI QIDQ1636295
Hidetoshi Awata, Hiroaki Kanno, Yusuke Ohkubo, Andrey Morozov, A. Yu. Morozov, Andrei Mironov, Yegor Zenkevich
Publication date: 12 June 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.05351
Related Items (22)
Computing the R-matrix of the quantum toroidal algebra ⋮ Webs of \(\mathcal{W}\)-algebras ⋮ Polynomial representations of classical Lie algebras and flag varieties ⋮ Extensions of the asymptotic symmetry algebra of general relativity ⋮ The \(R\)-matrix of the quantum toroidal algebra ⋮ \((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions ⋮ Elliptic algebra, Frenkel–Kac construction and root of unity limit ⋮ \((p,q)\)-webs of DIM representations, 5d \(\;\mathcal{N}=1 \) instanton partition functions and qq-characters ⋮ Double quantization of Seiberg–Witten geometry and W-algebras ⋮ Kac determinant and singular vector of the level \(N\) representation of Ding-Iohara-Miki algebra ⋮ \((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces ⋮ Anomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix models ⋮ Quantum integrability of \( \mathcal{N}=2 \) 4d gauge theories ⋮ Cut-and-join operators and Macdonald polynomials from the 3-Schur functions ⋮ The \(R\)-matrix of the quantum toroidal algebra \(U_{q,t}(\overset{..}{gl}_1)\) in the Fock module ⋮ Singular vectors of the Ding-Iohara-Miki algebra ⋮ Instanton R-matrix and \(\mathcal{W}\)-symmetry ⋮ Mixed network calculus ⋮ Quiver Yangian and supersymmetric quantum mechanics ⋮ Shifted quiver quantum toroidal algebra and subcrystal representations ⋮ A representation-theoretic approach to \(qq\)-characters ⋮ A slow review of the AGT correspondence
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