Shifted quiver quantum toroidal algebra and subcrystal representations (Q2094733)

scientific article; zbMATH DE number 7613558

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English	Shifted quiver quantum toroidal algebra and subcrystal representations	scientific article; zbMATH DE number 7613558

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instance of

scholarly article

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title

Shifted quiver quantum toroidal algebra and subcrystal representations (English)

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Journal of High Energy Physics

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publication date

8 November 2022

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full work available at URL

https://arxiv.org/abs/2109.02045

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zbMATH Keywords

conformal and W symmetry

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D-branes

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quantum groups

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supersymmetric gauge theory

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MaRDI profile type

Publication

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cites work

Liouville correlation functions from four-dimensional gauge theories

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Heisenberg algebra and Hilbert schemes of points on projective surfaces

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Quantum groups and quantum cohomology

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Cherednik algebras, $W$-algebras and the equivariant cohomology of the moduli space of instantons on $\mathbb A^2$

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The affine Yangian of $\mathfrak{gl}_1$ revisited

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

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

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Representations of quantum toroidal $\mathfrak{gl}_n$

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The ${(\mathfrak{gl}_{m},\mathfrak{gl}_{n})}$ duality in the quantum toroidal setting

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Quantum toroidal algebra associated with $\mathfrak{gl}_{m|n}$

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Braid actions on quantum toroidal superalgebras

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

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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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Quadratic relations of the deformed <i>W</i>-superalgebra Wq,t(sl(2|1))

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$q$-deformation of corner vertex operator algebras by Miura transformation

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Five-Dimensional AGT Relation and the Deformed -Ensemble

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Five-dimensional AGT conjecture and the deformed Virasoro algebra

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Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state

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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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$(q, t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

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The topological vertex

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

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New quantum toroidal algebras from 5D $\mathcal{N} = 1$ instantons on orbifolds

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A note on the algebraic engineering of 4D $\mathcal{N} = 2$ super Yang-Mills theories

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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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Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver

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Intertwining operator and integrable hierarchies from topological strings

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Quantum <i>W</i>1+∞ subalgebras of BCD type and symmetric polynomials

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

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Quantum algebraic approach to refined topological vertex

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$\mathfrak{gl}_N$ Higgsed networks

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Mixed network calculus

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Macmahon KZ equation for Ding-Iohara-Miki algebra

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Ding-Iohara-Miki symmetry of network matrix models

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$4d$ Higgsed network calculus and elliptic DIM algebra

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Vertex algebras at the corner

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$ \mathcal{W} $ -symmetry, topological vertex and affine Yangian

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Webs of $\mathcal{W}$-algebras

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$ \mathcal{W} $-algebra modules, free fields, and Gukov-Witten defects

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Quiver Yangian from crystal melting

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Cohomological Hall algebras, vertex algebras and instantons

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Crystal melting and toric Calabi-Yau manifolds

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A note on quiver quantum toroidal algebra

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Statistical model and BPS D4-D2-D0 counting

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Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities

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Exts and the AGT relations

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Toroidal and elliptic quiver BPS algebras and beyond

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The MacMahon R-matrix

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Q4832435

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Dimer models and Calabi-Yau algebras

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Properly ordered dimers, $R$-charges, and an efficient inverse algorithm

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Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras

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Towards trigonometric deformation of sl^2 coset VOA

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Combinatorics of vertex operators and deformed $W$-algebra of type D$(2,1;\alpha)$

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Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid

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Instanton counting with a surface operator and the chain-saw quiver

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Yang-Mills instantons on ALE gravitational instantons

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Quantization of Drinfeld Zastava in type $A$

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Yangians and cohomology rings of Laumon spaces

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Instanton R-matrix and $\mathcal{W}$-symmetry

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

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The $R$-matrix of the quantum toroidal algebra $U_{q,t}(\overset{..}{gl}_1)$ in the Fock module

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Quantum toroidal and shuffle algebras

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Identifiers

DOI

10.1007/JHEP05(2022)122

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7613558

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Sitelinks

Mathematics(1 entry)

mardi Publication:2094733