$(q, t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces (Q1751016)

scientific article

Language	Label	Description	Also known as
English	$(q, t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces	scientific article

Statements

instance of

scholarly article

0 references

title

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

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Journal of High Energy Physics

0 references

publication date

23 May 2018

0 references

full work available at URL

https://arxiv.org/abs/1712.08016

0 references

zbMATH Keywords

Knizhnik-Zamolodchikov (KZ) equation

0 references

Nekrasov partition function

0 references

conformal and W symmetry

0 references

conformal field theory

0 references

supersymmetric gauge theory

0 references

topological strings

0 references

Ding-Iohara-Miki (DIM) algebra

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Infinite conformal symmetry in two-dimensional quantum field theory

0 references

EXACT SOLUTIONS OF CONFORMAL FIELD THEORY IN TWO DIMENSIONS AND CRITICAL PHENOMENA

0 references

Conformal field theory

0 references

Liouville correlation functions from four-dimensional gauge theories

0 references

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

0 references

Five-dimensional AGT conjecture and the deformed Virasoro algebra

0 references

Five-Dimensional AGT Relation and the Deformed -Ensemble

0 references

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

0 references

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

0 references

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

0 references

Proving AGT conjecture as HS duality: Extension to five dimensions

0 references

Generalized Whittaker states for instanton counting with fundamental hypermultiplets

0 references

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

0 references

Higher AGT correspondences, $\mathcal{W}$-algebras, and higher quantum geometric Langlands duality from M-theory

0 references

q-vertex operator from 5D Nekrasov function

0 references

$q$-Virasoro constraints in matrix models

0 references

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

0 references

Holomorphic blocks and the 5d AGT correspondence

0 references

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

0 references

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

0 references

Integrability and Seiberg-Witten exact solution

0 references

Supersymmetric Yang-Mills theory and integrable systems

0 references

Q2738419

0 references

Seiberg-Witten prepotential from instanton counting

0 references

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

0 references

Q5482632

0 references

The Hamiltonian formalism and a many-valued analogue of Morse theory

0 references

Non-Abelian bosonization in two dimensions

0 references

Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra

0 references

Fock representations of the affine Lie algebra $A_ 1^{(1)}$

0 references

Quantization of the Drinfel'd-Sokolov reduction.

0 references

Matrix model conjecture for exact BS periods and Nekrasov functions

0 references

CONFORMAL BLOCKS AS DOTSENKO–FATEEV INTEGRAL DISCRIMINANTS

0 references

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

0 references

Decomposing Nekrasov decomposition

0 references

Ding-Iohara-Miki symmetry of network matrix models

0 references

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

0 references

Explicit examples of DIM constraints for network matrix models

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Quiver W-algebras

0 references

Quiver elliptic W-algebras

0 references

Lectures on K-theoretic computations in enumerative geometry

0 references

Quantum difference equation for Nakajima varieties

0 references

Generalization of Drinfeld quantum affine algebras

0 references

A (q,γ) analog of the W1+∞ algebra

0 references

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

0 references

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

0 references

A commutative algebra on degenerate CP1 and Macdonald polynomials

0 references

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

0 references

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

0 references

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

0 references

Quantum algebraic approach to refined topological vertex

0 references

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

0 references

Branching rules for quantum toroidal $\mathfrak{gl}_n$

0 references

Finite type modules and Bethe ansatz for quantum toroidal $\mathfrak{gl}_1$

0 references

Integrals of motion from quantum toroidal algebras

0 references

Modular properties of 6d (DELL) systems

0 references

Current algebras and Wess-Zumino model in two dimensions

0 references

Q4399896

0 references

Quantum affine algebras and holonomic difference equations

0 references

Q4853468

0 references

Traces of intertwiners for quantum groups and difference equations. I

0 references

Orthogonality and the qKZB-heat equation for traces of $U_q({\mathfrak g})$-intertwiners

0 references

Traces of intertwiners for quantum groups and difference equations

0 references

Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko)

0 references

Hypergeometric solutions of Knizhnik-Zamolodchikov equations

0 references

Arrangements of hyperplanes and Lie algebra homology

0 references

Q4846934

0 references

Q4357653

0 references

MONODROMY OF SOLUTIONS OF THE ELLIPTIC QUANTUM KNIZHNIK–ZAMOLODCHIKOV–BERNARD DIFFERENCE EQUATIONS

0 references

The $q$-deformed Knizhnik-Zamolodchikov-Bernard heat equation.

0 references

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

0 references

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

0 references

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

0 references

Seiberg-Witten curves and double-elliptic integrable systems

0 references

Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

0 references

Quiver varieties and finite dimensional representations of quantum affine algebras

0 references

Q3715293

0 references

A q-difference analogue of $U({\mathfrak g})$ and the Yang-Baxter equation

0 references

A $q$-analogue of $U(\mathfrak{gl}(N+1))$, Hecke algebra, and the Yang-Baxter equation

0 references

Quantum R matrix for the generalized Toda system

0 references

Double-loop algebras and the Fock space

0 references

On the K-theory of the cyclic quiver variety

0 references

Quiver varieties and Frenkel-Kac construction

0 references

$K$-theory of quiver varieties, $q$-Fock space and nonsymmetric Macdonald polynomials

0 references

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

0 references

Quantum toroidal algebras and their vertex representations

0 references

Toroidal actions on level 1 modules of $U_q(\widehat{sl}_n)$

0 references

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

0 references

On the continuum limit of the conformal matrix models

0 references

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

0 references

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

0 references

Excited states of the Calogero-Sutherland model and singular vectors of the $W_N$ algebra

0 references

Matrix models, topological strings, and supersymmetric gauge theories

0 references

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

0 references

Penner type matrix model and Seiberg-Witten theory

0 references

Seiberg-Witten theory, matrix model and AGT relation

0 references

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

0 references

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

0 references

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

0 references

Conformal blocks and generalized Selberg integrals

0 references

Multi-instanton calculus on ALE spaces

0 references

A combinatorial study on quiver varieties

0 references

The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero - Sutherland model

0 references

Yangian Gelfand-Zetlin bases, ${\mathfrak gl}_N$-Jack polynomials and computation of dynamical correlation functions in the spin Calogero-Sutherland model

0 references

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

0 references

Instanton moduli spaces and bases in coset conformal field theory

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Spectral duality between Heisenberg chain and Gaudin model

0 references

Spectral dualities in XXZ spin chains and five dimensional gauge theories

0 references

M5-branes, toric diagrams and gauge theory duality

0 references

Quantization of Integrable Systems and Four Dimensional Gauge Theories

0 references

Nekrasov functions and exact Bohr-Sommerfeld integrals

0 references

Nekrasov functions from exact Bohr–Sommerfeld periods: the case ofSU(N)

0 references

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

0 references

Identifiers

zbMATH Open document ID

1388.81623

0 references

DOI

10.1007/JHEP03(2018)192

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1751016

\((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces (Q1751016)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)