Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly

Abstract

Based on chiral ring relations and anomalies, as described by Cachazo, Douglas, Seiberg and Witten, we argue that the holomorphic effective action in N=2 Yang-Mills theory can be understood as an integrated U(1) anomaly from a purely field theory point of view. In particular, we show that the periods of the Riemann surface arising from the generalized Konishi anomaly can be given a physical interpretation without referring to special geometry. We also discuss consequences for the multi-instanton calculus in N=2 Yang-Mills theory.

arXiv comment25 pages, 2 figures ; v2: reference added

References in corpus (40)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Solutions Of Four-Dimensional Field Theories Via M Theory
• Geometric Engineering of Quantum Field Theories
• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• Simple Singularities and N=2 Supersymmetric Yang-Mills Theory
• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• Instantons and recursion relations in N=2 Susy gauge theory
• Self-Dual Strings and N=2 Supersymmetric Field Theory
• D-particle bound states and generalized instantons
• A Large N Duality via a Geometric Transition
• Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
• The Calculus of Many Instantons
• An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential
• Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories
• INSTANTON CALCULATIONS VERSUS EXACT RESULTS IN 4 DIMENSIONAL SUSY GAUGE THEORIES.
• Perturbative Computation of Glueball Superpotentials
• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
• ABCD of instantons
• On the Relation Between the Holomorphic Prepotential and the Quantum Moduli in SUSY Gauge Theories
• RG Equations from Whitham Hierarchy
• The Effective Prepotential of N=2 Supersymmetric SU(N_c) Gauge Theories
• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory
• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
• Superconformal Ward Identities and N=2 Yang-Mills Theory
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• Instanton Calculus and Nonperturbative Relations in N=2 Supersymmetric Gauge Theories
• Superfield Noether Procedure
• Instanton-induced Effective Lagrangian in the Seiberg-Witten Model
• On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models
• Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
• The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons
• Uniqueness of the Seiberg-Witten Effective Lagrangian
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• One-instanton calculations in N=2 SU(Nc) Supersymmetric QCD
• On Nonperturbative Exactness of Konishi Anomaly and the Dijkgraaf-Vafa Conjecture
• Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories
• Improved matrix-model calculation of the N=2 prepotential
• On the Uniqueness of the effective Lagrangian for N= 2 SQCD