Testing Seiberg-Witten Solution

Abstract

We propose a few tests of Seiberg-Witten solutions of $\mathcal{N}=2$ supersymmetric gauge theories by the instanton calculus in twisted gauge theories. We re-examine the low-energy effective abelian theory in the presence of sources and present the formalism which makes duality transformations transparent and easily fixes all the contact terms in a broad class of theories. We also discuss ADHM integration and its relevance to the stated problems.

crckapb.sty, 16 pp., a version of the contribution to Cargese conference, June 1997

References in corpus (1)

• Integrating Over Higgs Branches

Cited by in corpus (37)

• The Omega Deformation, Branes, Integrability, and Liouville Theory
• Instanton counting on blowup. I. 4-dimensional pure gauge theory
• Darboux coordinates, Yang-Yang functional, and gauge theory
• Extended Holomorphic Anomaly in Gauge Theory
• Deforming SW curve
• The Omega Deformation From String and M-Theory
• Deformed N=2 theories, generalized recursion relations and S-duality
• Worldsheet Realization of the Refined Topological String
• Check of AGT Relation for Conformal Blocks on Sphere
• Instanton-Monopole Correspondence from M-Branes on ${\mathbb{S}}^1$ and Little String Theory
• N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy
• Non-Perturbative Nekrasov Partition Function from String Theory
• Triality in Little String Theories
• Coset conformal blocks and N=2 gauge theories
• Self-Duality and Self-Similarity of Little String Orbifolds
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• Two-Sphere Partition Functions and Gromov-Witten Invariants
• 3d Mirror Symmetry from S-duality
• Transversally Elliptic Complex and Cohomological Field Theory
• Exact results for boundaries and domain walls in 2d supersymmetric theories
• Integrability, Seiberg-Witten Models and Picard-Fuchs Equations
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Matching branches of non-perturbative conformal block at its singularity divisor
• Probing the Moduli Dependence of Refined Topological Amplitudes
• Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups
• Bootstrapping the $S^5$ partition function
• VEV of Baxter's Q-operator in N=2 gauge theory and the BPZ differential equation
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Diagrammatic Expansion of Non-Perturbative Little String Free Energies
• Holomorphic Anomaly in Gauge Theory on ALE space
• The $u$-plane integral, mock modularity and enumerative geometry
• Instanton Corrections for m and Omega
• A string realisation of $\Omega$-deformed Abelian $\mathcal{N}=2^{\ast }$ theory
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• $\Omega$ versus Graviphoton
• Integrable hierarchies in Donaldson-Witten and Seiberg-Witten theories