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 $\F_{ikl}β^{lm} \F_{mnj}=\F_{jkl}β^{lm}\F_{mni}$. 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.

6 pages, LaTeX, References added

References in corpus (1)

• WDVV and DZM

Cited by in corpus (9)

• The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
• Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
• Seiberg--Witten Duality in Dijkgraaf--Vafa Theory
• ε-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model
• On the WDVV Equation and M-Theory
• Large N gauge theories and topological cigars
• Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
• Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter
• RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM