Generalized WDVV equations for B-r and C-r pure N=2 Super-Yang-Mills theory

Citation
Lk. Hoevenaars et R. Martini, Generalized WDVV equations for B-r and C-r pure N=2 Super-Yang-Mills theory, LETT MATH P, 57(2), 2001, pp. 175-183
Citations number
16
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
57
Issue
2
Year of publication
2001
Pages
175 - 183
Database
ISI
SICI code
0377-9017(200108)57:2<175:GWEFBA>2.0.ZU;2-W
Abstract
A proof that the prepotential for pure N = 2 Super-Yang-Mills theory associ ated with Lie algebras B-r and C-r satisfies the generalized WDVV (Witten-D ijkgraaf-Verlinde-Verlinde) system was given by Marshakov, Mironov, and Mor ozov. Among other things, they use an associative algebra of holomorphic di fferentials. Later Ito and Yang used a different approach to try to accompl ish the same result, but they encountered objects of which it is unclear wh ether they form structure constants of an associative algebra. We show by e xplicit calculation that these objects are none other than the structure co nstants of the algebra of holomorphic differentials.