ABCD of instantons

Abstract

We solve N=2 supersymmetric Yang-Mills theories for arbitrary classical gauge group, i.e. SU(N), SO(N), Sp(N). In particular, we derive the prepotential of the low-energy effective theory, and the corresponding Seiberg-Witten curves. We manage to do this without resolving singularities of the compactified instanton moduli spaces.

46 pp, LaTeX, v2. discussion on Sp(N) added, typos fixed

References in corpus (20)

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• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
• Self-Dual Strings and N=2 Supersymmetric Field Theory
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• D-particle bound states and generalized instantons
• The Calculus of Many Instantons
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• Five Dimensional Gauge Theories and Relativistic Integrable Systems
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• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
• RG Equations from Whitham Hierarchy
• The Effective Prepotential of N=2 Supersymmetric SU(N_c) Gauge Theories
• Chern-Simons and Twisted Supersymmetry in Higher Dimensions
• A note on instanton counting for N=2 gauge theories with classical gauge groups
• The Effective Prepotential of N=2 Supersymmetric SO(N_c) and Sp(N_c) Gauge Theories
• Finite Yang-Mills Integrals
• Elliptic models and M-theory

Cited by in corpus (114)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Sasaki-Einstein Manifolds and Volume Minimisation
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• The Hilbert Series of the One Instanton Moduli Space
• 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
• Non-Lagrangian Theories from Brane Junctions
• Exact Results for 't Hooft Loops in Gauge Theories on S^4
• Coulomb Branch and The Moduli Space of Instantons
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• Obstructions to the Existence of Sasaki-Einstein Metrics
• Topological strings and 5d T_N partition functions
• Discrete theta and the 5d superconformal index
• Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices
• Brane webs and $O5$-planes
• N=2 supersymmetric dynamics for pedestrians
• Lifting 4d dualities to 5d
• The ABCDEFG of Instantons and W-algebras
• Matrix models for $\beta$-ensembles from Nekrasov partition functions
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• 5d Partition Functions with A Twist
• Duality and enhancement of symmetry in 5d gauge theories
• Classification of 4d N=2 gauge theories
• Seiberg-Witten theory and matrix models
• Topological Strings on Singular Elliptic Calabi-Yau 3-folds and Minimal 6d SCFTs
• Highest Weight Generating Functions for Hilbert Series
• Hilbert Series for Moduli Spaces of Two Instantons
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
• Deformed N=2 theories, generalized recursion relations and S-duality
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Counting Exceptional Instantons
• Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Magnificent Four with Colors
• On Exceptional Instanton Strings
• The Character of Pure Spinors
• Equivalence of several descriptions for 6d SCFT
• From SO/Sp instantons to W-algebra blocks
• A slow review of the AGT correspondence
• Towards a 4d/2d correspondence for Sicilian quivers
• Bootstrapping BPS spectra of 5d/6d field theories
• N=1 Superpotentials from Multi-Instanton Calculus
• An M-Theoretic Derivation of a 5d and 6d AGT Correspondence, and Relativistic and Elliptized Integrable Systems
• Deformed Seiberg-Witten Curves for ADE Quivers
• On the 5d instanton index as a Hilbert series
• M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• 5d fixed points from brane webs and O7-planes
• On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics
• 6d strings and exceptional instantons
• "Finite" Non-Gaussianities and Tensor-Scalar Ratio in Large Volume Swiss-Cheese Compactifications
• Instantons from Blow-up
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• Cubic curves from instanton counting
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Instanton counting and O-vertex
• More on topological vertex formalism for 5-brane webs with O5-plane
• Numerical Analyses on Moduli Space of Vacua
• Extended N=1 super Yang-Mills theory
• Vortex counting from field theory
• Quantum Seiberg-Witten curve and Universality in Argyres-Douglas theories
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• Fiber-base duality from the algebraic perspective
• On the Quantization of Seiberg-Witten Geometry
• Twisted Partition Functions and $H$-Saddles
• (de)Tails of Toda CFT
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• On the Jeffrey-Kirwan residue of BCD-instantons
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• Construction and Deconstruction of Single Instanton Hilbert Series
• Non-perturbative studies of N=2 conformal quiver gauge theories
• 't Hooft Defects and Wall Crossing in SQM
• Tetrahedron instantons
• Twisted 6d $(2,0)$ SCFTs on a Circle
• On a singular Fredholm-type integral equation arising in N=2 super Yang-Mills theories
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Refined topological vertex with ON-planes
• Recursive Method for Nekrasov partition function for classical Lie groups
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• ABCD of qq-characters
• Integrating over quiver variety and BPS/CFT correspondence
• ABCD of Beta Ensembles and Topological Strings
• M5-branes, orientifolds, and S-duality
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• Equivariant volumes of non-compact quotients and instanton counting
• Field Theory Interpretation of N=2 Stringy Instantons
• Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Microscopic quantum superpotential in N=1 gauge theories
• Cut-and-join operators and Macdonald polynomials from the 3-Schur functions
• $DE$-type little strings from glued brane webs
• Glueball operators and the microscopic approach to N=1 gauge theories
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Instantons on Young diagrams with matters
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Gauge origami and quiver W-algebras III: Donaldson--Thomas $qq$-characters
• From equivariant volumes to equivariant periods
• Five-dimensional gauge theories and the local B-model
• The Microscopic Approach to N=1 Super Yang-Mills Theories
• Defects and type D relativistic Toda lattice for some 5d gauge theories
• O-vertex, O7${}^{+}$-plane, and Topological Vertex
• Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
• A note on D0-branes and instantons in 5d supersymmetric gauge theories
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly
• Global variants of $\mathcal{N}=1^{\ast }$ theories and Calogero-Moser systems
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations