Beta function, C-theorem and WDVV equations in 4D N=2 SYM

Abstract

We show that the exact beta-function of 4D N=2 SYM plays the role of the metric whose inverse satisfies the WDVV-like equations F iklβ lm F mnj= F jklβ lm F mni . The conjecture that the WDVV-like equations are equivalent to the identity involving the u-modulus and the prepotential F , seen as a superconformal anomaly, sheds light on the recently considered c-theorem for the N=2 SYM field theories.