Modular Invariance and Structure of the Exact Wilsonian Action of N=2 SYM

Abstract

We construct modular invariants on the moduli space of quantum vacua of N=2 SYM with gauge group SU(2). We also introduce a nonchiral function K which is expressed in terms of the Seiberg-Witten and Poincare' metrics. It turns out that K has all the expected properties of the next to leading term in the Wilsonian effective action whose modular properties are considered in the framework of the dimensional regularization.

10 pages, LaTeX file, misprints and a factor 2 in the derivation of alpha corrected

References in corpus (6)

• Nonholomorphic Corrections to the One-Loop N=2 Super Yang-Mills Action
• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory
• Nonperturbative Renormalization Group Equation and Beta Function in N=2 SUSY Yang-Mills
• Multi-Instanton Check of the Relation Between the Prepotential F and the Modulus u in N=2 SUSY Yang-Mills Theory
• Nonperturbative Relations in N=2 SUSY Yang-Mills and WDVV equation
• Duality and the Legendre Transform

Cited by in corpus (20)

• On the D = 4, N = 2 Non-Renormalization Theorem
• Non-holomorphic terms in N=2 SUSY Wilsonian actions and RG equation
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Self-dual effective action of N = 4 SYM revisited
• Isomonodromic Properties of the Seiberg-Witten Solution
• Seiberg--Witten Duality in Dijkgraaf--Vafa Theory
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter
• On the next-to-leading-order correction to the effective action in N=2 gauge theories
• Lepton flavour violation in the MSSM: exact diagonalization vs mass expansion
• N=2 SYM RG Scale as Modulus for WDVV Equations
• Picard-Fuchs Equation and Prepotential of Five Dimensional SUSY Gauge Theory Compactified on a Circle
• On the WDVV Equation and M-Theory
• Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons
• Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks
• Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
• SU(2) Yang-Mills Theory with extended Supersymmetry in a Background Magnetic Field
• Deriving exact prepotential for $N=2$ supersymmetric Yang-Mills theories from superconformal anomaly with rank two gauge groups
• Quantum Mechanics from General Relativity and the Quantum Friedmann Equation
• On the Low-Energy Effective Action of N=2 Supersymmetric Yang-Mills Theory