On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories

Abstract

We show how to give the expression for periods, Higgs field and its dual of N=2 supersymmetric Yang-Mills theory around the conformal point. This is achieved by evaluating the integral representation in the weak coupling region, and by using analytic continuation to the conformal point. The explicit representation is shown for the SU(2) theory with matter fields and also for pure SU(N) and pure SO(2N) theory around the conformal point where the relation to the beta function of the theory is clarified. We also discuss a relation between the fixed points in the SU(2) theories with matter fields and the Landau-Ginzburg point of 2-D N=2 SCFT.

25 pages, LaTeX

Cited by in corpus (10)

• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
• Extremal Correlators and Random Matrix Theory
• Quantum periods and prepotential in $\mathcal{N}=2$ SU(2) SQCD
• Quantum periods for $\mathcal{N}=2$ $SU(2)$ SQCD around the superconformal point
• OPE coefficients in Argyres-Douglas theories
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• Seiberg-Witten Theory as d<1 Topological Strings
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter
• Seiberg-Witten Theory of Rank Two Gauge Groups and Hypergeometric Series
• Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets