5d and 6d Supersymmetric Gauge Theories: Prepotentials from Integrable Systems
arXiv:hep-th/9711156 · doi:10.1016/S0550-3213(98)00149-7
Abstract
We discuss and supersymmetric gauge theories in the target-space with compactified directions and with the matter hypermultiplets in fundamental representations in the framework of integrable systems. In particular, we consider the prepotentials of these theories and derive explicit formulas for their perturbative parts.
LaTeX, 27 pages, no figures
References in corpus (5)
- Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
- Comments on the M Theory Approach to N=1 SQCD and Brane Dynamics
- WDVV Equations from Algebra of Forms
- Notes on Supersymmetric Gauge Theories in Five and Six Dimensions
- On Integrable Systems and Supersymmetric Gauge Theories
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