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 TMF, 1997, Volume 112, Number 1, Pages 3–46 (Mi tmf1025)

On integrable systems and supersymmetric gauge theories

A. V. Marshakovab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: The properties of the $\mathcal N=2$ SUSY gauge theories underlying the Seiberg–Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential are presented, the invariant sense of these definitions is illustrated. Recently found exact nonperturbative solutions to $\mathcal N=2$ SUSY gauge theories are formulated using the methods of the theory of integrable systems and where it is possible the parallels between standard quantum field theory results and solutions to integrable systems are discussed.

DOI: https://doi.org/10.4213/tmf1025

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English version:
Theoretical and Mathematical Physics, 1997, 112:1, 791–826

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Citation: A. V. Marshakov, “On integrable systems and supersymmetric gauge theories”, TMF, 112:1 (1997), 3–46; Theoret. and Math. Phys., 112:1 (1997), 791–826

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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21. Braden, HW, “WDVV equations for 6d Seiberg-Witten theory and bi-elliptic curves”, Acta Applicandae Mathematicae, 99:3 (2007), 223
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