On the WDVV equations in five-dimensional gauge theories

Abstract

It is well-known that the perturbative prepotentials of four-dimensional N=2 supersymmetric Yang-Mills theories satisfy the generalized WDVV equations, regardless of the gauge group. In this paper we study perturbative prepotentials of the five-dimensional theories for some classical gauge groups and determine whether or not they satisfy the WDVV system.

15 pages, no figures, web address of paper added in bibliography. Misprints corrected

References in corpus (2)

• Solutions of WDVV equations in Seiberg-Witten theory from root systems
• Seiberg-Witten theory for a non-trivial compactification from five to four dimensions

Cited by in corpus (8)

• Many-particle mechanics with D(2,1;alpha) superconformal symmetry
• Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
• Superconformal Quantum Mechanics from M2-branes
• Trigonometric Solutions of the WDVV Equations from Root Systems
• Trigonometric $\vee$-systems and solutions of WDVV equations
• Supersymmetric V-systems
• Five-dimensional gauge theories and the local B-model
• Legendre transforms for type $A_n$ and $B_n$ $\vee$-systems