Koebe 1/4 theorem and inequalities inN=2 supersymmetric QCD

Koebe 1/4-theorem and Inequalities in N=2 Super-qcd

The critical curve C on which Im τ̂ = 0, τ̂ = aD/a, determines hyperbolic domains whose Poincaré metric is constructed in terms of aD and a. We describe C in a parametric form related to a Schwarzian equation and prove new relations for N = 2 Super SU(2) Yang-Mills. In particular, using the Koebe 1/4-theorem and Schwarz’s lemma, we obtain inequalities involving u, aD and a, which seem related to ...

Note on a Theorem of Bôcher and Koebe*

The conformal window in QCD and supersymmetric QCD

In both QCD and supersymmetric QCD (SQCD) with Nf flavors there are conformal windows where the theory is asymptotically free in the ultraviolet while the infrared physics is governed by a non-trivial fixed-point. In SQCD, the lower Nf boundary of the conformal window, below which the theory is confining is well understood thanks to duality. In QCD there is just a sufficient condition for confi...

QCD Corrections in Supersymmetric Theories

I discuss the effects of QCD radiative corrections in Supersymmetric theories. After summarizing the SUSY– QCD lagrangian in the Minimal Supersymmetric extension of the Standard Model, I will discuss the new features introduced by SUSY, and the main complications compared to standard QCD corrections. I will then discuss a few examples of QCD calculations in SUSY theories, for standard processes...

N = 2 supersymmetric QCD and elliptic potentials

We investigate the relation between the four dimensional N = 2 SU(2) super Yang-Mills theory with four fundamental flavors and the quantum mechanics model with Treibich-Verdier potential described by the Heun equation in the elliptic form. We study the precise correspondence of quantities in the gauge theory and the quantum mechanics model. An iterative method is used to obtain the asymptotic e...