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Integrable Hierarchies and Modern Physical Theories pp 33–176Cite as

Integrable Many-Body Systems and Gauge Theories

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Part of the book series: NATO Science Series ((NAII,volume 18))

Abstract

The review studies connections between integrable many-body systems and gauge theories. It is shown how the degrees of freedom in integrable systems are related with topological degrees of freedom in gauge theories. The relations between families of integrable systems and N = 2 supersymmetric gauge theories are described. It is explained that the degrees of freedom in the many-body systems can be identified with collective coordinates of D-branes, solitons in string theory.

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  1. ITEP, Moscow, 117259, Russia

    A. Gorsky & A. Mironov

  2. Theory Department, Lebedev Physics Institute, Moscow, 117924, Russia

    A. Mironov

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  1. A. Gorsky
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  1. Department of Physics, University of Illinois at Chicago, Illinois, Chicago, USA

    Henrik Aratyn

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

    Alexander S. Sorin

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Gorsky, A., Mironov, A. (2001). Integrable Many-Body Systems and Gauge Theories. In: Aratyn, H., Sorin, A.S. (eds) Integrable Hierarchies and Modern Physical Theories. NATO Science Series, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0720-7_3

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