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 FiklβlmFmnj=FjklβlmFmni. 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.
BETA FUNCTION, C THEOREM AND WDVV EQUATIONS IN 4-D N=2 SYM
MATONE, MARCO
1998
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 FiklβlmFmnj=FjklβlmFmni. 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.
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