Duality in integrable systems and gauge theories

Vladimir Fock; Alexander Gorsky; Nikita Nekrasov; Vladimir Rubtsov

doi:10.1088/1126-6708/2000/07/028

Duality in integrable systems and gauge theories

Vladimir Fock
, Alexander Gorsky
, Nikita Nekrasov
, Vladimir Rubtsov

Simons Center for Geometry & Physics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

86 Scopus citations

Abstract

We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.

Original language	English
Article number	028
Journal	Journal of High Energy Physics
Volume	4
Issue number	7 PART B
DOIs	https://doi.org/10.1088/1126-6708/2000/07/028
State	Published - 2000

Keywords

Duality in Gauge Field Theories
Non-perturbative Effects
Topological Field Theories

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10.1088/1126-6708/2000/07/028

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title = "Duality in integrable systems and gauge theories",

abstract = "We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.",

keywords = "Duality in Gauge Field Theories, Non-perturbative Effects, Topological Field Theories",

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T1 - Duality in integrable systems and gauge theories

AU - Fock, Vladimir

AU - Gorsky, Alexander

AU - Nekrasov, Nikita

AU - Rubtsov, Vladimir

PY - 2000

Y1 - 2000

N2 - We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.

AB - We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.

KW - Duality in Gauge Field Theories

KW - Non-perturbative Effects

KW - Topological Field Theories

UR - https://www.scopus.com/pages/publications/6944255651

U2 - 10.1088/1126-6708/2000/07/028

DO - 10.1088/1126-6708/2000/07/028

M3 - Article

SN - 1126-6708

VL - 4

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7 PART B

M1 - 028

ER -

Duality in integrable systems and gauge theories

Abstract

Keywords

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