Associativity Equations in Effective SUSY Quantum Field Theories
arXiv:hep-th/0108023 · doi:10.1142/9789812778192_0066
Abstract
The role of associativity or WDVV equations in effective supersymmetric quantum theories is discussed and it is demonstrated that for wide class of their solutions when residue formulas are valid the proof of associativity equations can be reduced to solving the system of ordinary linear equations and depends only upon corresponding matching and nondegeneracy conditions. The covariance of WDVV equations upon generic duality transformations and the role of associativity equations in general context of quasiclassical integrable systems is also discussed.
Contribution to the proceedings of the conference SUSY01, Dubna, June 2001; LaTeX, 8 pp