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On a complete solution of the quantum Dell system (Q780923)

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Language	Label	Description	Also known as
English	On a complete solution of the quantum Dell system	scientific article

Statements

scholarly article

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On a complete solution of the quantum Dell system (English)

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Hidetoshi Awata

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Journal of High Energy Physics

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publication date

15 July 2020

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full work available at URL

https://arxiv.org/abs/1912.12897

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zbMATH Keywords

duality in gauge field theories

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integrable hierarchies

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supersymmetric gauge theory

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topological strings

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MaRDI profile type

MaRDI publication profile

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On double-elliptic integrable systems. I: A duality argument for the case of \(\text{SU}(2)\)

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Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case

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Duality in integrable systems and gauge theories

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Commuting Hamiltonians from Seiberg-Witten \(\Theta\)-functions.

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Self-dual Hamiltonians as deformations of free systems

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Integrability in string/field theories and Hamiltonian flows in the space of physical systems

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\(p,q\)-duality and Hamiltonian flows in the space of integrable systems or integrable systems as canonical transforms of the free ones

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Bispectral and \((\mathfrak{gl}_{N},\mathfrak{gl}_{M})\) dualities

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Bispectral and \((\mathfrak{gl}_N,\mathfrak{gl}_M)\) dualities, discrete versus differential

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Spectral duality between Heisenberg chain and Gaudin model

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Spectral dualities in XXZ spin chains and five dimensional gauge theories

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M5-branes, toric diagrams and gauge theory duality

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On elementary proof of AGT relations from six dimensions

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

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

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Modular properties of 6d (DELL) systems

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Three-particle integrable systems with elliptic dependence on momenta and theta function identities

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Seiberg-Witten curves and double-elliptic integrable systems

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Quantization of Integrable Systems and Four Dimensional Gauge Theories

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Nekrasov functions and exact Bohr-Sommerfeld integrals

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Nekrasov functions from exact Bohr–Sommerfeld periods: the case of<i>SU</i>(<i>N</i>)

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The quantum DELL system

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Explicit examples of DIM constraints for network matrix models

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Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety

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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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An elliptic Virasoro symmetry in 6d

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Ding-Iohara-Miki symmetry of network matrix models

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Elliptic modular double and 4d partition functions

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\(q\)-Virasoro modular triple

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Hall-Littlewood functions and orthogonal polynomials

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Kerov functions for composite representations and Macdonald ideal

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Affine screening operators, affine Laumon spaces and conjectures concerning non-stationary Ruijsenaars functions

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Traces of intertwiners for quantum groups and difference equations. I

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The sine-Gordon solitons as an \(N\)-body problem

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Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

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Calogero–Moser hierarchy and KP hierarchy

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Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

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Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS

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Surface operators in \( \mathcal{N} = 2\) 4d gauge theories

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\(S\)-duality of boundary conditions in \({\mathcal N}=4\) super Yang-Mills theory

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\(T[ \mathrm{SU} (N)]\) duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences

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Defects and quantum Seiberg-Witten geometry

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

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Yangians and cohomology rings of Laumon spaces

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A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps' spaces

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Quantization of Drinfeld Zastava in type \(A\)

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Givental \(J\)-functions, quantum integrable systems, AGT relation with surface operator

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BPS/CFT correspondence. IV: Sigma models and defects in gauge theory

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

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Affine \(SL(2)\) conformal blocks from 4d gauge theories

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Affine \(sl(N)\) conformal blocks from \({\mathcal N} = 2\) \(SU(N)\) gauge theories

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Splitting of surface defect partition functions and integrable systems

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Five-dimensional AGT conjecture and the deformed Virasoro algebra

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Deformed prepotential, quantum integrable system and Liouville field theory

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On AGT relations with surface operator insertion and a stationary limit of beta-ensembles

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Localization with a surface operator, irregular conformal blocks and open topological string

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Instanton partition functions in \(\mathcal{N} = 2\) SU(\(N\)) gauge theories with a general surface operator, and their \(\mathcal{W}\)-algebra duals

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Surface operators and separation of variables

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Identifiers

zbMATH Open document ID

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10.1007/JHEP04(2020)212

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:780923

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