Wild Quiver Gauge Theories

Abstract

We study N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian superconformal field theories induced by compactifying the six dimensional A_1 (2,0) theory on Riemann surfaces with irregular punctures. These are naturally associated to Hitchin systems with wild ramification whose spectral curves provide the relevant Seiberg-Witten geometries. We propose that the prepotential of these gauge theories on the Omega-background can be obtained from the corresponding irregular conformal blocks on the Riemann surfaces via a generalization of the coherent state construction to the case of higher order singularities.

34 pages; v2. typos corrected

References in corpus (21)

• S-duality in N=2 supersymmetric gauge theories
• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• R-Twisting and 4d/2d Correspondences
• Tinkertoys for Gaiotto Duality
• Asymptotically free N=2 theories and irregular conformal blocks
• A holographic computation of the central charges of d=4, N=2 SCFTs
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• Instanton counting with a surface operator and the chain-saw quiver
• Affine sl(N) conformal blocks from N=2 SU(N) gauge theories
• Comments on scaling limits of 4d N=2 theories
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• Gauge Theory And Wild Ramification
• Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• Quantum Hitchin Systems via beta-deformed Matrix Models
• Classical conformal blocks from TBA for the elliptic Calogero-Moser system
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory
• Generalized matrix models and AGT correspondence at all genera
• Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling pants
• (de)Tails of Toda CFT
• Gaudin model and opers

Cited by in corpus (101)

• General Argyres-Douglas Theory
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• N=1 Deformations and RG Flows of N=2 SCFTs
• The $\mathcal{N}=2$ superconformal bootstrap
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• On the Superconformal Index of Argyres-Douglas Theories
• Irregular singularities in Liouville theory
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Irregular Liouville correlators and connection formulae for Heun functions
• Classification of Argyres-Douglas theories from M5 branes
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Infrared Computations of Defect Schur Indices
• On Painlevé/gauge theory correspondence
• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• Central charges and RG flow of strongly-coupled N=2 theory
• Chiral algebra of Argyres-Douglas theory from M5 brane
• Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality
• Tao Probing the End of the World
• Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
• On Irregular Singularity Wave Functions and Superconformal Indices
• A review of the T_N theory and its cousins
• N=1 dynamics with T_N theory
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Irregular conformal blocks and connection formulae for Painlevé V functions
• Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks
• Quantum Higgs branches of isolated N=2 superconformal field theories
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• Gaiotto Duality for the Twisted A_{2N-1} Series
• W_3 irregular states and isolated N=2 superconformal field theories
• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
• Defect $a$-Theorem and $a$-Maximization
• A slow review of the AGT correspondence
• Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
• N=1 Geometries via M-theory
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• On AGT-W Conjecture and q-Deformed W-Algebra
• Holographic duals of M5-branes on an irregularly punctured sphere
• Construction of Gaiotto states with fundamental multiplets through Degenerate DAHA
• Argyres-Douglas theories, Painlevé II and quantum mechanics
• On the chiral algebra of Argyres-Douglas theories and S-duality
• On the Correspondence between Surface Operators in Argyres-Douglas Theories and Modules of Chiral Algebra
• BPS spectrum of Argyres-Douglas theory via spectral network
• Accessory parameters in confluent Heun equations and classical irregular conformal blocks
• The moduli space of vacua of N=2 class S theories
• Argyres-Douglas matter and N=2 dualities
• $\mathcal{N}=2^{\ast }$ gauge theory, free fermions on the torus and Painlevé VI
• Various semiclassical limits of torus conformal blocks
• Classical Virasoro irregular conformal block
• Aspects of Irregular Punctures via Holography
• Generalized Whittaker states for instanton counting with fundamental hypermultiplets
• Virasoro irregular conformal block and beta deformed random matrix model
• Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory
• Argyres-Douglas matter and S-duality: Part II
• Singular points in N=2 SQCD
• Classical Virasoro irregular conformal block II
• Argyres-Douglas theories and Liouville Irregular States
• BPS quivers of five-dimensional SCFTs, Topological Strings and q-Painlevé equations
• 3d TQFTs from Argyres-Douglas theories
• Flowing from 16 to 32 Supercharges
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Exact results in N=2 gauge theories
• Parametric dependence of irregular conformal block
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Irregular conformal block, spectral curve and flow equations
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• OPE coefficients in Argyres-Douglas theories
• On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories
• Multicritical points of unitary matrix model with logarithmic potential identified with Argyres-Douglas points
• Argyres-Douglas Theories, S-duality and AGT Correspondence
• Classical irregular blocks, Hill's equation and PT-symmetric periodic complex potentials
• Whittaker vectors for $\mathcal{W}$-algebras from topological recursion
• Confinement and duality in supersymmetric gauge theories
• Geometry of moduli spaces of meromorphic connections on curves, Stokes data, wild nonabelian Hodge theory, hyperkahler manifolds, isomonodromic deformations, Painleve equations, and relations to Lie theory
• Conformal blocks and Painlevé functions
• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• An infrared bootstrap of the Schur index with surface defects
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• Irregular Vertex Operators for Irregular Conformal Blocks
• Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories
• No go for a flow
• Describing codimension two defects
• Irregular conformal block and its matrix model
• Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation
• The Geometry of SUSY Enhancement
• Confluent Conformal Blocks of the Second Kind
• Super-spectral curve of irregular conformal blocks
• A-D hypersurface of $su(n)$ $\mathcal{N}=2$ supersymmetric gauge theory with $N_f=2n-2$ flavors
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Circular quiver gauge theories, isomonodromic deformations and $W_N$ fermions on the torus
• Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model
• Interactions of Irregular Gaiotto States in Liouville Theory
• On a 5D UV completion of Argyres-Douglas theories
• Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
• A note on W symmetry of N=2 gauge theory
• Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory
• Irregular vertex algebras