BETA-FUNCTION, C-THEOREM AND WDVV EQUATIONS IN 4D N=2 SYM

We show that the exact beta-function of 4D N=2 SYM plays the role of t he metric whose inverse satisfies the WDVV-like equations F(ikl)beta(l m)F(mnj) = F(jkl)beta(lm)F(mni). The conjecture that the WDVV-like equ ations are equivalent to the identity involving the u-modulus and the prepotential F, seen as a superconformal anomaly, sheds light on the r ecently considered c-theorem for the N = 2 SYM field theories. (C) 199 8 Elsevier Science B.V. All rights reserved.