Elliptic quantum toroidal algebra $U_{q,t,p}(\mathfrak{gl}_{1,tor})$ and affine quiver gauge theories (Q2701143)

scientific article; zbMATH DE number 7680378

Language	Label	Description	Also known as
English	Elliptic quantum toroidal algebra $U_{q,t,p}(\mathfrak{gl}_{1,tor})$ and affine quiver gauge theories	scientific article; zbMATH DE number 7680378

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instance of

scholarly article

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title

Elliptic quantum toroidal algebra $U_{q,t,p}(\mathfrak{gl}_{1,tor})$ and affine quiver gauge theories (English)

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Letters in Mathematical Physics

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publication date

27 April 2023

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full work available at URL

https://arxiv.org/abs/2112.09885

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zbMATH Keywords

elliptic quantum group

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toroidal algebra

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affine quiver varieties

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MaRDI profile type

Publication

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cites work

Quantum $q$-Langlands Correspondence

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Liouville correlation functions from four-dimensional gauge theories

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REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS

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Quantum algebraic approach to refined topological vertex

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Explicit examples of DIM constraints for network matrix models

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

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Five-Dimensional AGT Relation and the Deformed -Ensemble

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Plane partitions with a ``pit'': generating functions and representation theory

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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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Q3819194

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

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Quantum continuous $\mathfrak{gl}_{\infty}$: semiinfinite construction of representations

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Quantum continuous $\mathfrak{gl}_{\infty}$: tensor products of Fock modules and $\mathcal{W}_{n}$-characters

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

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Quantum toroidal $\mathfrak{gl}_{1}$-algebra: plane partitions

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Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz

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Equivariant $K$-theory of Hilbert schemes via shuffle algebra

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A commutative algebra on degenerate CP1 and Macdonald polynomials

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

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Q4335011

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Deformations of $W$-algebras associated to simple Lie algebras

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Virasoro algebras and coset space models

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Unitary representations of the Virasoro and super-Virasoro algebras

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M-strings, elliptic genera and $\mathcal{N} = 4$ string amplitudes

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M-strings

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Q4323298

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Quasi-Hopf twistors for elliptic quantum groups

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

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Quiver W-algebras

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Double quantization of Seiberg–Witten geometry and W-algebras

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Harmonic analysis on the $\text{SU}(2)$ dynamical quantum group

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Elliptic deformed superalgebra $U_{q,p}(\widehat{{sl}}(M|N))$

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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 Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))

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

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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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Elliptic quantum groups $U_{q,p}(\widehat{{\mathfrak{gl}}}_N)$ and $E_{q,p}(\widehat{{\mathfrak{gl}}}_N)$

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Elliptic Weight Functions and Elliptic q-KZ Equation

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Elliptic stable envelopes and finite-dimensional representations of elliptic quantum group

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Elliptic Quantum Groups

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Topological string partition functions as equivariant indices

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Q4657365

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Q4632223

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Q4328336

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A (q,γ) analog of the W1+∞ algebra

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The modular properties and the integral representations of the multiple elliptic gamma functions

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The Shuffle Algebra Revisited

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The $q$-AGT-W relations via shuffle algebras

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Seiberg-Witten prepotential from instanton counting

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BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and $qq$-characters

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An elliptic analogue of the multiple gamma function

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11005-023-01650-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2701143

Elliptic quantum toroidal algebra \(U_{q,t,p}(\mathfrak{gl}_{1,tor})\) and affine quiver gauge theories (Q2701143)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)