DOI10.1007/JHEP09(2010)092zbMath1291.81265arXiv1002.0888OpenAlexW2081156242WikidataQ59254464 ScholiaQ59254464MaRDI QIDQ2250499
Edward Witten, Nikita A. Nekrasov
Publication date: 7 July 2014
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.0888
High-temperature expansion of supersymmetric partition functions,
\(\Omega\)-deformed SYM on a Gibbons-Hawking space,
Q-balls of quasi-particles in a \((2, 0)\)-theory model of the fractional quantum Hall effect,
Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory,
BPS equations in \(\Omega\)-deformed \( \mathcal{N}=4 \) super Yang-Mills theory,
Vortices and monopoles in a harmonic trap,
Angular momentum and gravimagnetization of the \({\mathcal N=2}\) supersymmetric vacuum,
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins,
Wilson loop algebras and quantum K-theory for Grassmannians,
Riemann-Hilbert correspondence and blown up surface defects,
Deformed Calogero-Moser operators and ideals of rational Cherednik algebras,
Bethe/gauge correspondence for linear quiver theories with ABCD gauge symmetry and spin chains,
Bethe/gauge correspondence for ABCDEFG-type 3d gauge theories,
On higher rank coisotropic \(A\)-branes,
Seiberg-Witten geometry of four-dimensional \(\mathcal{N}=2\) quiver gauge theories,
Gauge theory and the analytic form of the geometric Langlands program,
Blowups in BPS/CFT correspondence, and Painlevé VI,
\(q\)-opers, \(QQ\)-systems, and Bethe Ansatz,
Anomaly matching across dimensions and supersymmetric Cardy formulae,
Embedding integrable superspin chain in string theory,
Supersymmetric field theories and geometric Langlands: The other side of the coin,
TBA for non-perturbative moduli spaces,
Proving the AGT relation for \(N_{f} = 0, 1, 2\) antifundamentals,
Chiral algebra, localization, modularity, surface defects, and all that,
Quantum $q$-Langlands Correspondence,
Algebraic structures on the moduli spaces in gauge theories,
The Toda system and solution to the N = 2 SUSY Yang–Mills theory,
Localization for $$\mathcal {N}=2$$ Supersymmetric Gauge Theories in Four Dimensions,
Supersymmetric Gauge Theories, Quantization of $${\mathcal M}_\mathrm{flat}$$ , and Conformal Field Theory,
Gauge/Vortex Duality and AGT,
VOA[M4],
A slow review of the AGT correspondence,
Surface defects in gauge theory and KZ equation,
Spectrum of quantum transfer matrices via classical many-body systems,
BPS states in the \(\Omega\)-background and torus knots,
\(tt^{*}\) geometry in 3 and 4 dimensions,
Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY,
\(\Omega\)-deformation and quantization,
Alpha- and omega-deformations from fluxes in M-theory,
Holomorphic blocks in three dimensions,
Deformation quantization and superconformal symmetry in three dimensions,
Blowup equations for refined topological strings,
Bootstrapping the superconformal index with surface defects,
Ground states of duality-twisted sigma-models with \(K_{3}\) target space,
Chern-Simons theory and S-duality,
BPS states in the duality web of the omega deformation,
Webs of \(\mathcal{W}\)-algebras,
Topologically twisted indices in five dimensions and holography,
Boundaries, mirror symmetry, and symplectic duality in \(3d \mathcal{N}=4 \) gauge theory,
4d quantum geometry from 3d supersymmetric gauge theory and holomorphic block,
Classical limit of irregular blocks and Mathieu functions,
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters,
Quiver W-algebras,
Coulomb branch operators and mirror symmetry in three dimensions,
Teichmüller TQFT vs. Chern-Simons theory,
Supersymmetric Wilson loops, instantons, and deformed \(\mathcal{W}\)-algebras,
General omega deformations from closed string backgrounds,
Line operators on \(S^1\times\mathbb R^3\) and quantization of the Hitchin moduli space,
Deformed planar topological open string amplitudes on Seiberg-Witten curve,
Liouville theory, \( \mathcal{N} = 2 \) gauge theories and accessory parameters,
Orbifolds and exact solutions of strongly-coupled matrix models,
The Coulomb branch of 3d \({\mathcal{N}= 4}\) theories,
Equivariant Verlinde formula from fivebranes and vortices,
Exact quantization conditions, toric Calabi-Yau and non-perturbative topological string,
Quantum geometry and quiver gauge theories,
Quantum Hitchin systems via \(\beta\)-deformed matrix models,
Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation,
On extensions of \(\mathfrak{gl}\widehat{\left(m \vert n \right)}\) Kac-Moody algebras and Calabi-Yau singularities,
Cohomological Hall algebras, vertex algebras and instantons,
Higgs and Coulomb branches from vertex operator algebras,
Instanton partition functions in \(\mathcal{N} = 2\) SU(\(N\)) gauge theories with a general surface operator, and their \(\mathcal{W}\)-algebra duals,
A direct proof of AGT conjecture at {\(\beta\)} = 1,
Vortex counting and Lagrangian 3-manifolds,
Deformed prepotential, quantum integrable system and Liouville field theory,
Gauge theories and Macdonald polynomials,
Vertex algebras for S-duality,
Generalized Toda theory from six dimensions and the conifold,
AGT/\({\mathbb{Z}}_2\),
Toda theory from six dimensions,
Splitting of surface defect partition functions and integrable systems,
SUSY gauge theories on squashed three-spheres,
Exact WKB and abelianization for the \(T_3\) equation,
Generalized matrix models and AGT correspondence at all genera,
\( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls,
Brezin-Gross-Witten model as ``pure gauge limit of Selberg integrals, From SO/Sp instantons to W-algebra blocks, On topological field theory representation of higher analogs of classical special functions, Non-perturbative topological strings and conformal blocks, A search for \(\mathrm{AdS}_{5} {\times} S^{2}\) IIB supergravity solutions dual to \( \mathcal{N} = 2 \) SCFTs, Vertex algebras at the corner, 4d Chern-Simons theory as a 3d Toda theory, and a 3d-2d correspondence, Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality, Bands and gaps in Nekrasov partition function, A \& B model approaches to surface operators and Toda thoeries, The refined BPS index from stable pair invariants, {\(\Omega\)}-deformation of B-twisted gauge theories and the 3d-3d correspondence, Relating gauge theories via Gauge/Bethe correspondence, Affine \(sl(N)\) conformal blocks from \({\mathcal N} = 2\) \(SU(N)\) gauge theories, String theory of the Omega deformation, Darboux coordinates, Yang-Yang functional, and gauge theory, Refined cigar and {\(\Omega\)}-deformed conifold, BPS monopole equation in \(\Omega\)-background, From VOAs to short star products in SCFT, Elliptic quantum curves of class \({\mathcal{S}}_k\), Coulomb branch quantization and abelianized monopole bubbling, M5 branes and theta functions, Comments on chiral algebras and \(\Omega\)-deformations, Real forms of elliptic integrable systems, The omega deformation from string and M-theory, S-duality as a \(\beta\)-deformed Fourier transform, Towards the continuous limit of cluster integrable systems, Compactification on the \(\omega\)-background and the AGT correspondence, BPS states in omega background and integrability, Quantum geometry of refined topological strings, Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories, Wall-crossing in coupled 2d-4d systems, M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems, AGT relation in the light asymptotic limit, General Argyres-Douglas theory, The ABCDEFG of little strings, Secondary products in supersymmetric field theory, \( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects, On monopole bubbling contributions to 't Hooft loops, Effective gravitational couplings of four-dimensional \(\mathcal{N} = 2\) supersymmetric gauge theories, Disk, interval, point: on constructions of quantum field theories with holomorphic action functionals, Algebras, traces, and boundary correlators in \(\mathcal{N} = 4\) SYM, A geometric recipe for twisted superpotentials, Exact WKB methods in SU(2) \(\mathrm{N_f} = 1\), Miura operators, degenerate fields and the M2-M5 intersection, Exact WKB and the quantum Seiberg-Witten curve for 4d \(N = 2\) pure SU(3) Yang-Mills. Abelianization, Dualities in quantum integrable many-body systems and integrable probabilities. I., On the six-dimensional origin of the AGT correspondence