Instanton Recursion Relations for the Effective Prepotential in N=2 Super Yang-Mills

Abstract

Linear recursion relations for the instanton corrections to the effective prepotential of N=2 supersymmetric gauge theories with an arbitrary number of hypermultiplets in the fundamental representation of an arbitrary classical gauge group are dervied. The construction proceeds from the Seiberg-Witten solutions and the renormalization group type equations for the prepotential. Successive iterations of these recursion relations allow us to simple obtain instanton corrections to arbitrarily high order, which we exhibit explicitly up to 6-th order. For gauge groups SU(2) and SU(3), our results agree with previous ones.

18 pages, Latex; added references, typos corrected

References in corpus (5)

• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
• Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets
• The uses of Whitham hierarchies
• Strong coupling expansion and Seiberg-Witten-Whitham equations
• Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories

Cited by in corpus (18)

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• Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• Seiberg--Witten Duality in Dijkgraaf--Vafa Theory
• Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
• Cubic curves from instanton counting
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• Field Theory Interpretation of N=2 Stringy Instantons
• Dual WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
• Prepotential and Instanton Corrections in N=2 Supersymmetric SU(N_1)xSU(N_2) Yang Mills Theories
• Improved matrix-model calculation of the N=2 prepotential
• The Instanton Universal Moduli Space of N=2 Supersymmetric Yang-Mills Theory
• Prepotential Recursion Relations in N=2 Super-Yang Mills with Adjoint Matter
• Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories