Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings (Q1638697)

scientific article

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

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instance of

scholarly article

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title

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

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published in

Journal of High Energy Physics

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publication date

12 June 2018

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full work available at URL

https://arxiv.org/abs/1603.00304

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zbMATH Keywords

topological strings

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brane dynamics in gauge theories

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integrable hierarchies

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string duality

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Liouville correlation functions from four-dimensional gauge theories

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On AGT relation in the case of $U(3)$

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

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$q$-vertex operator from 5D Nekrasov function

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$q$-Virasoro constraints in matrix models

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

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An elliptic Virasoro symmetry in 6d

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Geometric engineering of quantum field theories

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Mirror symmetry and exact solution of $4D$ $N=2$ gauge theories. I

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Five-dimensional field theories and M-theory

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BPS spectrum of $5$-dimensional field theories, $(p,q)$ webs and curve counting

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Multiscale $N=2$ SUSY field theories, integrable systems and their stringy/brane origin

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The topological vertex

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

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

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Spectral dualities in XXZ spin chains and five dimensional gauge theories

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Spectral duality between Heisenberg chain and Gaudin model

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M5-branes, toric diagrams and gauge theory duality

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Lifting 4d dualities to 5d

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Fiber-base duality and global symmetry enhancement

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Tao probing the end of the world

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Seiberg-Witten theory and matrix models

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Matrix models for$\beta$-ensembles from Nekrasov partition functions

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Conformal matrix models as an alternative to conventional multi-matrix models

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Collective field theory, Calogero-Sutherland model and generalized matrix models

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The Quiver Matrix Model and 2d-4d Conformal Connection

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Penner type matrix model and Seiberg-Witten theory

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Seiberg-Witten theory, matrix model and AGT relation

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An Ar threesome: Matrix models, 2d conformal field theories, and 4d N=2 gauge theories

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Matrix model conjecture for exact BS periods and Nekrasov functions

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CONFORMAL BLOCKS AS DOTSENKO–FATEEV INTEGRAL DISCRIMINANTS

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On the ‘Dotsenko–Fateev’ representation of the toric conformal blocks

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Brezin-Gross-Witten model as ``pure gauge'' limit of Selberg integrals

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Towards a proof of AGT conjecture by methods of matrix models

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Method of generating q-expansion coefficients for conformal block and ${\mathcal N}=2$ Nekrasov function by $\beta $-deformed matrix model

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Conformal blocks and generalized Selberg integrals

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Matrix models, topological strings, and supersymmetric gauge theories

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Proving AGT conjecture as HS duality: Extension to five dimensions

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Generalized Macdonald polynomials, spectral duality for conformal blocks and AGT correspondence in five dimensions

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Decomposing Nekrasov decomposition

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Ding-Iohara-Miki symmetry of network matrix models

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Integrability and Seiberg-Witten exact solution

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On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories

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Supersymmetric Yang-Mills theory and integrable systems

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Integrability and Seiberg-Witten theory -- curves and periods

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Prepotential and the Seiberg-Witten theory

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5d and 6d supersymmetric gauge theories: Prepotentials from integrable systems

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Five-dimensional gauge theories and relativistic integrable systems

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Seiberg-Witten theory for a non-trivial compactification from five to four dimensions.

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The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory.

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Solutions to the reflection equation and integrable systems for $N=2$ SQCD with classical groups

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

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Commuting Hamiltonians from Seiberg-Witten $\Theta$-functions.

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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 ofSU(N)

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Integrable many-body systems and gauge theories

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Quantum foam and topological strings

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Membranes and sheaves

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Issues in topological gauge theory

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Q4524602

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Integrating over Higgs branches

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D-particle bound states and generalized instantons

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Solutions of four-dimensional field theories via M-theory

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$D$-branes, monopoles and Nahm equations

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Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics

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Mirror symmetry in three-dimensional gauge theories, SL$(2,\mathbb{Z})$ and D-brane moduli spaces

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Branes and mirror symmetry in $N=2$ supersymmetric gauge theories in three dimensions

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Brane dynamics and $N=1$ supersymmetric gauge theory

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Branes and toric geometry

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Infinite conformal symmetry in two-dimensional quantum field theory

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Q4217627

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Conformal field theory

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Electric-magnetic duality, monopole condensation, and confinement in $N=2$ supersymmetric Yang-Mills theory

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Monopoles, duality and chiral symmetry breaking in $N=2$ supersymmetric QCD

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Seiberg-Witten prepotential from instanton counting

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AN ALGORITHM FOR THE MICROSCOPIC EVALUATION OF THE COEFFICIENTS OF THE SEIBERG–WITTEN PREPOTENTIAL

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Q5482632

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A direct proof of AGT conjecture at {$\beta$} = 1

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Towards the proof of AGT relations with the help of the generalized Jack polynomials

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On the instanton $R$-matrix

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

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Non-perturbative topological strings and conformal blocks

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Quantum geometry of refined topological strings

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Quiver W-algebras

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M-strings

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Recursive method for the Nekrasov partition function for classical Lie groups

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On the Jeffrey-Kirwan residue of $BCD$-instantons

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Instantons, quivers and noncommutative Donaldson-Thomas theory

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$\mathcal{N} = 2$ gauge theories, instanton moduli spaces and geometric representation theory

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Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution

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Ruijsenaars' commuting difference operators as commuting transfer matrices

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Some algebraic structures connected with the Yang-Baxter equation

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Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras

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A new class of integrable systems and its relation to solitons

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Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

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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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Holomorphic bundles and many-body systems

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Hitchin systems -- symplectic Hecke correspondence and two-dimensional version

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On trigonometric intertwining vectors and non-dynamical $R$-matrix for the Ruijsenaars model

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Sklyanin elliptic algebras

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Q4274858

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Quantized moduli spaces of the bundles on the elliptic curve and their applications

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Classicalr-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions

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Q3532198

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Five dimensional gauge theories and vertex operators

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Identifiers

zbMATH Open document ID

1388.81588

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DOI

10.1007/JHEP05(2016)121

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1638697