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5d and 6d Supersymmetric Gauge Theories: Prepotentials from Integrable Systems
A. Marshakov, A. Mironov
We discuss and supersymmetric gauge theories in the target-space with compactified directions and with the matter hypermultiplets in fundamental representations in the fr…
On Integrable Systems and Supersymmetric Gauge Theories
A. Marshakov
The properties of the N=2 SUSY gauge theories underlying the Seiberg-Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integra…
More Evidence for the WDVV Equations in N=2 SUSY Yang-Mills Theories
A. Marshakov, A. Mironov, A. Morozov
We consider 4d and 5d N=2 supersymmetric theories and demonstrate that in general their Seiberg-Witten prepotentials satisfy the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations…
WDVV Equations from Algebra of Forms
A. Marshakov, A. Mironov, A. Morozov
A class of solutions to the WDVV equations is provided by period matrices of hyperelliptic Riemann surfaces, with or without punctures. The equations themselves reflect associativi…