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

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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 3–46
DOI: https://doi.org/10.4213/tmf1025 (Mi tmf1025)

This article is cited in 24 scientific papers (total in 24 papers)

On integrable systems and supersymmetric gauge theories

A. V. Marshakov^ab

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

Full-text PDF (495 kB) Citations (24)

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

Abstract: The properties of the

N = 2

$\mathcal N=2$ 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

N = 2

$\mathcal N=2$ 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.

Received: 10.02.1997

English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 791–826
DOI: https://doi.org/10.1007/BF02634097

Bibliographic databases:

Language: Russian

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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Linking options:

https://www.mathnet.ru/eng/tmf1025

https://doi.org/10.4213/tmf1025

https://www.mathnet.ru/eng/tmf/v112/i1/p3

This publication is cited in the following 24 articles:

Braden, HW, “WDVV equations for 6d Seiberg-Witten theory and bi-elliptic curves”, Acta Applicandae Mathematicae, 99:3 (2007), 223
Yang, ZY, “Generalized Toda mechanics associated with loop algebra L(B-r)”, Communications in Theoretical Physics, 43:3 (2005), 407
Yang, ZY, “Generalized Toda mechanics associated with loop algebras L(C-r) and L(D-r) and their reductions”, Communications in Theoretical Physics, 43:1 (2005), 1
Kim S., Lee K.M., Yee H.U., Yi P.J., “The N=1*theories on R1+2 x S-1 with twisted boundary conditions”, Journal of High Energy Physics, 2004, no. 8, 040
A. V. Marshakov, “On Associativity Equations”, Theoret. and Math. Phys., 132:1 (2002), 895–933
Phys. Usp., 45:9 (2002), 915–954
D'Hoker E., Phong D.H., “Lectures on supersymmetric Yang-Mills theory and integrable systems”, Theoretical Physics At the End of the Twentieth Century, CRM Series in Mathematical Physics, 2002, 1–125
Eric D'Hoker, D. H. Phong, Theoretical Physics at the End of the Twentieth Century, 2002, 1
Krichever, I, “Spin chain models with spectral curves from M theory”, Communications in Mathematical Physics, 213:3 (2000), 539
Takasaki, K, “Whitham deformations of Seiberg-Witten curves for classical gauge groups”, International Journal of Modern Physics A, 15:23 (2000), 3635
Mironov A., “WDVV equations and Seiberg-Witten theory”, Integrability: the Seiberg-Witten and Whitham Equations, 2000, 103–123
D'Hoker E., Phong D.H., “Seiberg-Witten theory and integrable systems”, Integrability: the Seiberg-Witten and Whitham Equations, 2000, 43–68
A. V. Marshakov, “Strings, SUSY gauge theories, and integrable systems”, Theoret. and Math. Phys., 121:2 (1999), 1409–1461
Takasaki, K, “Whitham deformations and tau functions in N=2 supersymmetric gauge theories”, Progress of Theoretical Physics Supplement, 1999, no. 135, 53
D'Hoker, E, “Seiberg-Witten theory and Calogero–Moser systems”, Progress of Theoretical Physics Supplement, 1999, no. 135, 75
Braden, HW, “The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory”, Nuclear Physics B, 558:1–2 (1999), 371
H.W. Braden, A. Marshakov, A. Mironov, A. Morozov, “Seiberg–Witten theory for a non-trivial compactification from five to four dimensions”, Physics Letters B, 448:3-4 (1999), 195
D'Hoker, E, “Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general simple Lie algebras”, Nuclear Physics B, 534:3 (1998), 697
Gesztesy, F, “Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approach”, Bulletin of the American Mathematical Society, 35:4 (1998), 271
Kanno, H, “Picard-Fuchs equation and prepotential of five-dimensional SUSY gauge theory compactified on a circle”, Nuclear Physics B, 530:1–2 (1998), 73

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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