Generalized Macdonald functions on Fock tensor spaces and duality formula for changing preferred direction

DOI10.1007/s00220-020-03872-4zbMath1458.81035arXiv1903.05905OpenAlexW3093414082MaRDI QIDQ2216207

Yusuke Ohkubo, Masayuki Fukuda, Jun'ichi Shiraishi

Publication date: 15 December 2020

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

Full work available at URL: https://arxiv.org/abs/1903.05905

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Vertex operators; vertex operator algebras and related structures (17B69) Yang-Mills and other gauge theories in quantum field theory (81T13) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Bergman spaces and Fock spaces (30H20)

Related Items (13)

Quantum toroidal comodule algebra of type \(A_{n-1}\) and integrals of motion ⋮ Extensions of the asymptotic symmetry algebra of general relativity ⋮ ABCD of qq-characters ⋮ Shifted quantum groups and matter multiplets in supersymmetric gauge theories ⋮ Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ Macmahon KZ equation for Ding-Iohara-Miki algebra ⋮ Free field approach to the Macdonald process ⋮ Intertwining operator and integrable hierarchies from topological strings ⋮ Quantum W1+∞ subalgebras of BCD type and symmetric polynomials ⋮ Web construction of ABCDEFG and affine quiver gauge theories ⋮ A representation-theoretic approach to \(qq\)-characters ⋮ Engineering 3D \(\mathcal{N} = 2\) theories using the quantum affine \(\mathfrak{sl}(2)\) algebra ⋮ A slow review of the AGT correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Exts and the AGT relations
• Five-dimensional AGT conjecture and the deformed Virasoro algebra
• Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations
• Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra
• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• Collective field theory, Calogero-Sutherland model and generalized matrix models
• Generalization of Drinfeld quantum affine algebras
• Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
• The \(q\)-AGT-W relations via shuffle algebras
• Kac determinant and singular vector of the level \(N\) representation of Ding-Iohara-Miki algebra
• Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications
• Liouville correlation functions from four-dimensional gauge theories
• Quantum algebraic approach to refined topological vertex
• A conjecture about raising operators for Macdonald polynomials
• Macdonald polynomials, Laumon spaces and perverse coherent sheaves
• Five-Dimensional AGT Relation and the Deformed  -Ensemble
• REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS
• A (q,γ) analog of the W1+∞ algebra
• A commutative algebra on degenerate CP1 and Macdonald polynomials
• Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence
• Lukyanov's screening operators for the deformed Virasoro algebra

This page was built for publication: Generalized Macdonald functions on Fock tensor spaces and duality formula for changing preferred direction