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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 125, Number 1, Pages 3–56
DOI: https://doi.org/10.4213/tmf656 (Mi tmf656) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Integrable many-body systems and gauge theories

A. S. Gorsky

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (501 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf656
Abstract: We review the study of the relation between integrable many-body systems and gauge theories. We show that the degrees of freedom of integrable systems are related to the topological degrees of freedom of gauge theories. We also describe the relation between families of integrable systems and $N=2$ supersymmetric gauge theories. We show that the degrees of freedom of many-body systems can be identified with the collective coordinates of string theory solitons, the $\mathrm D$-branes.
Received: 28.02.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 125, Issue 1, Pages 1305–1348
DOI: https://doi.org/10.1007/BF02551040
Bibliographic databases:
Language: Russian
Citation: A. S. Gorsky, “Integrable many-body systems and gauge theories”, TMF, 125:1 (2000), 3–56; Theoret. and Math. Phys., 125:1 (2000), 1305–1348
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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  • https://doi.org/10.4213/tmf656
  • https://www.mathnet.ru/eng/tmf/v125/i1/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :301
    References:59
    First page:3
     
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