Generalization of Drinfeld quantum affine algebras

From MaRDI portal
Publication:1364203

DOI10.1023/A:1007341410987zbMath0889.17011OpenAlexW1861380665MaRDI QIDQ1364203

Kenji Iohara, Jintai Ding

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1023/a:1007341410987



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (only showing first 100 items - show all)

On pentagon identity in Ding-Iohara-Miki algebraShifted quantum groups and matter multiplets in supersymmetric gauge theories\((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functionsBethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebrasOn Hopf algebraic structures of quantum toroidal algebrasHopf superpolynomial from topological verticesThe elliptic Hall algebra and the deformed Khovanov Heisenberg category\(q\)-Virasoro modular double and 3d partition functionsComputing the R-matrix of the quantum toroidal algebra\(4d\) Higgsed network calculus and elliptic DIM algebraHopf algebra extension of a Zamolochikov algebra and its doubleToric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations\( \mathcal{W} \) -symmetry, topological vertex and affine YangianHecke correspondences for smooth moduli spaces of sheavesExplicit examples of DIM constraints for network matrix modelsToda 3-point functions from topological stringsLattice models, deformed Virasoro algebra and reduction equationQuiver ${\text{W}}_{{\boldsymbol{{\epsilon}}}_{\mathbf{1}},{\boldsymbol{{\epsilon}}}_{\mathbf{2}}}$ algebras of 4D $\boldsymbol{\mathcal{N}}\mathbf{=}\mathbf{2}$ gauge theoriesSupersymmetric Wilson loops, instantons, and deformed \(\mathcal{W}\)-algebrasThe affine Yangian of \(\mathfrak{gl}_1\) revisitedCategorification of the elliptic Hall algebraDing-Iohara algebras and quantum vertex algebrasQuantum geometry and quiver gauge theoriesShuffle algebras associated to surfacesRepresentation of elliptic Ding-Iohara algebraAn elliptic Virasoro symmetry in 6dExtensions of the asymptotic symmetry algebra of general relativityCan tangle calculus be applicable to hyperpolynomials?A Macdonald refined topological vertexCohomological Hall algebras, vertex algebras and instantonsABCD of qq-charactersW$W$‐algebras associated to surfacesCommutative subalgebras from Serre relationsCommutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functionsRefined topological vertex with ON-planesFiber-base duality from the algebraic perspectiveThe MacMahon R-matrixCrystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondenceThe \(R\)-matrix of the quantum toroidal algebraDuality of Lusztig and RTT integral forms of \(U_{\boldsymbol{v}}(L\mathfrak{sl}_n)\)Gauge/Bethe correspondence from quiver BPS algebrasRectangular superpolynomials for the figure-eight knot \(4_1\)5d AGT correspondence of supergroup gauge theories from quantum toroidal \(\mathfrak{gl}_1\)Elliptic algebra, Frenkel–Kac construction and root of unity limitRefined toric branes, surface operators and factorization of generalized Macdonald polynomials\((p,q)\)-webs of DIM representations, 5d \(\;\mathcal{N}=1 \) instanton partition functions and qq-charactersReflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiverIntegrable Systems, Shuffle Algebras, and Bethe EquationsA note on the algebraic engineering of 4D \(\mathcal{N} = 2\) super Yang-Mills theoriesGeneralized Macdonald functions on Fock tensor spaces and duality formula for changing preferred directionNon-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebraElliptic Ding-Iohara algebra and the free field realization of the elliptic Macdonald operatorTwo-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basisAn elliptic topological vertexElliptic lift of the Shiraishi function as a non-stationary double-elliptic functionKac determinant and singular vector of the level \(N\) representation of Ding-Iohara-Miki algebra\(T[ \mathrm{SU} (N)\) duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences] ⋮ Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)Generalized \(q\)-\(W_{\infty}\) constraints for the elliptic Hermitian matrix modelOn quantum toroidal algebra of type \(A_1\)On quantum shuffle and quantum affine algebrasQuantum hydrodynamics from large-\(n\) supersymmetric gauge theories\((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spacesAnomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix modelsQuantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representationsQuantum continuous \(\mathfrak{gl}_{\infty}\): tensor products of Fock modules and \(\mathcal{W}_{n}\)-charactersA commutative algebra on degenerate CP1 and Macdonald polynomialsAn elliptic vertex of Awata-Feigin-Shiraishi type for M-stringsSeiberg-Witten period relations in Omega backgroundQuantum integrability of \( \mathcal{N}=2 \) 4d gauge theories\(q\)-discriminants and vertex operatorsCut-and-join operators and Macdonald polynomials from the 3-Schur functionsHomomorphisms between different quantum toroidal and affine Yangian algebrasMacmahon KZ equation for Ding-Iohara-Miki algebraBootstrapping BPS spectra of 5d/6d field theories\(q\)-deformation of corner vertex operator algebras by Miura transformationSingular vectors of the Ding-Iohara-Miki algebraOn the quantum affine vertex algebra associated with trigonometric \(R\)-matrixQuantum toroidal algebra associated with \(\mathfrak{gl}_{m|n}\)Free field approach to the Macdonald processIntertwining operator and integrable hierarchies from topological stringsQuasi-Hopf algebras associated with \({\mathfrak sl}_2\) and complex curves.\(t,q\)-deformed \(Q\)-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators\(3d\) field theory, plane partitions and triple Macdonald polynomials\( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects\(W_{1+\infty}\) constraints for the Hermitian one-matrix modelOn elliptic algebras and large-n supersymmetric gauge theoriesNew quantum toroidal algebras from 5D \(\mathcal{N} = 1\) instantons on orbifoldsQuantum W1+∞ subalgebras of BCD type and symmetric polynomialsMixed network calculus\(\mathfrak{gl}_N\) Higgsed networksQuasi-Hopf twist and elliptic Nekrasov factorToroidal and elliptic quiver BPS algebras and beyondWeb construction of ABCDEFG and affine quiver gauge theoriesTwisted vertex representations via spin groups and the McKay correspondence.Quiver Yangian and supersymmetric quantum mechanicsA note on quiver quantum toroidal algebraShifted quiver quantum toroidal algebra and subcrystal representationsQuantum algebraic approach to refined topological vertexEngineering 3D \(\mathcal{N} = 2\) theories using the quantum affine \(\mathfrak{sl}(2)\) algebra




This page was built for publication: Generalization of Drinfeld quantum affine algebras