Elliptic algebra, Frenkel–Kac construction and root of unity limit (Q5367006)

scientific article; zbMATH DE number 6790043

Language	Label	Description	Also known as
English	Elliptic algebra, Frenkel–Kac construction and root of unity limit	scientific article; zbMATH DE number 6790043

Statements

instance of

scholarly article

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title

Elliptic algebra, Frenkel–Kac construction and root of unity limit (English)

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zbMATH Open document ID

1375.81178

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DOI

10.1088/1751-8121/aa8233

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Journal of Physics A: Mathematical and Theoretical

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publication date

12 October 2017

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full work available at URL

https://arxiv.org/abs/1705.03628

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Mathematics Subject Classification ID

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elliptic algebra

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deformed Virasoro symmetry

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root of unity limit

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MaRDI profile type

MaRDI publication profile

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Liouville correlation functions from four-dimensional gauge theories

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Parafermionic Liouville field theory and instantons on ALE spaces

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Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory

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Super Liouville conformal blocks from $ \mathcal{N} = 2 $ SU(2) quiver gauge theories

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Instantons and 2d superconformal field theory

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Instantons on ALE spaces and super Liouville conformal field theories

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Gauge theories on ALE space and super Liouville correlation functions

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Ramond sector of super Liouville theory from instantons on an ALE space

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Instanton moduli spaces and bases in coset conformal field theory

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Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity

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Coset conformal field theory and instanton counting on $\mathbb{C}^{2}/\mathbb{Z}_{p}$

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2d-4d connection between $q$-Virasoro/$W$ block at root of unity limit and instanton partition function on ALE space

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$q$-Virasoro/$W$ algebra at root of unity and parafermions

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Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces

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AGT relations for abelian quiver gauge theories on ALE spaces

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$\mathcal N=2$ quiver gauge theories on A-type ALE spaces

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Five-dimensional AGT conjecture and the deformed Virasoro algebra

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Five-Dimensional AGT Relation and the Deformed -Ensemble

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3d and 5d gauge theory partition functions as $q$-deformed CFT correlators

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M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems

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Elliptic Ding-Iohara algebra and the free field realization of the elliptic Macdonald operator

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Commutative families of the elliptic Macdonald operator

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Quantum affine algebras and deformations of the Virasoro and ${\mathcal W}$-algebras

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A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

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Quantum ${\mathcal W}$-algebras and elliptic algebras

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Quantum ${\mathcal W}_ N$ algebras and Macdonald polynomials

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Vertex operators of the $q$-Virasoro algebra; defining relations, adjoint actions and four point functions

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A coset-type construction for the deformed Virasoro algebra

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q-vertex operator from 5D Nekrasov function

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Generalization of Drinfeld quantum affine algebras

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A (q,γ) analog of the W1+∞ algebra

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An elliptic algebra $U_{q,p}(\widehat{\text{sl}_2})$ and the fusion RSOS model

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Elliptic algebra $U_{q,p} (\widehat {\mathfrak {sl}}_2)$: Drinfeld currents and vertex operators

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The elliptic algebra $U_{q,p}(\widehat{\mathfrak{sl}}_N)$ and the Drinfeld realization of the elliptic quantum group $\mathcal B_{q,\lambda}(\widehat{\mathfrak{sl}}_N)$.

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The elliptic algebra and the deformation ofWNalgebra

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The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism

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Elliptic quantum group U_{q\hbox{\scriptsize \bf,\,} p}(\widehat{{\mathfrak {sl}}}_2) and vertex operators

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Elliptic quantum group $U_{q,p}(\widehat{\mathfrak{sl}}_2)$, Hopf algebroid structure and elliptic hypergeometric series

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AGT correspondence: Ding–Iohara algebra at roots of unity and Lepowsky–Wilson construction

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Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence

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Explicit examples of DIM constraints for network matrix models

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Toric Calabi-Yau threefolds as quantum integrable systems. $\mathcal R$-matrix and $\mathcal{RTT}$ relations

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Anomaly in $\mathcal{RTT}$ relation for DIM algebra and network matrix models

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Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings

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Ding-Iohara-Miki symmetry of network matrix models

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Coherent states in quantum $\mathcal{W}_{1+\infty}$ algebra and qq-character for 5d super Yang–Mills

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$(p,q)$-webs of DIM representations, 5d $\;\mathcal{N}=1 $ instanton partition functions and qq-characters

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The Maulik–Okounkov R-matrix from the Ding–Iohara–Miki algebra

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Partition function of the eight-vertex lattice model

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Dynamical symmetry of integrable quantum systems

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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

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Some algebraic structures connected with the Yang-Baxter equation

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Some finite-dimensional representations of generalized Sklyanin algebras

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An elliptic quantum algebra for $\widehat{\text{sl}}_ 2$

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Quasi-Hopf twistors for elliptic quantum groups

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Q2736299

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Universal exchange algebra for Bloch waves and Liouville theory

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A quasi-Hopf algebra interpretation of quantum $3$-$j$ and $6$-$j$ symbols and difference equations

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The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems

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Q5749434

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Q5749433

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Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups

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Exchange dynamical quantum groups

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Multi-point local height probabilities in the integrable RSOS model

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Lukyanov's screening operators for the deformed Virasoro algebra

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Elliptic algebra $U_{q,p}(\hat{\mathfrak {g}})$ and quantum $Z$-algebras

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Basic representations of affine Lie algebras and dual resonance models

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Vertex representations of quantum affine algebras

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Mathematics(1 entry)

mardi Publication:5367006