\(4d\) Higgsed network calculus and elliptic DIM algebra

DOI10.1016/J.NUCLPHYSB.2022.115740zbMath1495.81070arXiv2012.15352OpenAlexW3116397034MaRDI QIDQ2131834

Yegor Zenkevich, Can Kozçaz, Mohamed Ghoneim, Kerem Kurşun

Publication date: 27 April 2022

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

Full work available at URL: https://arxiv.org/abs/2012.15352

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Supersymmetric field theories in quantum mechanics (81T60) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Representations of quivers and partially ordered sets (16G20)

Related Items (8)

ABCD of qq-characters ⋮ Shifted quantum groups and matter multiplets in supersymmetric gauge theories ⋮ 3-Schurs from explicit representation of Yangian \(Y(\hat{\mathfrak{gl}}_1)\). Levels 1--5 ⋮ 5d AGT correspondence of supergroup gauge theories from quantum toroidal \(\mathfrak{gl}_1\) ⋮ Hunt for 3-Schur polynomials ⋮ Quasi-Hopf twist and elliptic Nekrasov factor ⋮ Shifted quiver quantum toroidal algebra and subcrystal representations ⋮ Engineering 3D \(\mathcal{N} = 2\) theories using the quantum affine \(\mathfrak{sl}(2)\) algebra

Cites Work

• Kernel functions for difference operators of Ruijsenaars type and their applications
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Branes and toric geometry
• Generalization of Drinfeld quantum affine algebras
• Mirror symmetry and exact solution of \(4D\) \(N=2\) gauge theories. I
• An elliptic Virasoro symmetry in 6d
• Representation of elliptic Ding-Iohara algebra
• M-strings
• Quantum algebraic approach to refined topological vertex
• A (q,γ) analog of the W1+∞ algebra
• A commutative algebra on degenerate CP1 and Macdonald polynomials

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