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Instantons, Hilbert Schemes and Integrability

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Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

Part of the book series: NATO Science Series ((NAII,volume 35))

Abstract

We review the deformed instanton equations making connection with Hilbert schemes and integrable systems. A single U(1) instanton is shown to be anti-self-dual with respect to the Burns metric.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Edinburgh, Edinburg, Edinburgh, EH9 3JZ, UK

    H. W. Braden

  2. Institut des Hautes Etudes Scientifiques, Le Bois-Marie, 35, route de Chartres, Bures-sur-Yvette, F-91440, France

    N. A. Nekrasov

  3. Institute for Theoretical and Experimental Physics, B.Cheryomushkinskaya 25, 117259, Moscow, Russia

    N. A. Nekrasov

Authors
  1. H. W. Braden
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  2. N. A. Nekrasov
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Editor information

Editors and Affiliations

  1. Joint Institute for Nuclear Research, Laboratory of Theoretical Physics, Dubna, Russia

    S. Pakuliak

  2. Physikalisches Institut, Universität Bonn, Germany

    G. von Gehlen

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Braden, H.W., Nekrasov, N.A. (2001). Instantons, Hilbert Schemes and Integrability. In: Pakuliak, S., von Gehlen, G. (eds) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. NATO Science Series, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0670-5_3

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  • DOI: https://doi.org/10.1007/978-94-010-0670-5_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7184-7

  • Online ISBN: 978-94-010-0670-5

  • eBook Packages: Springer Book Archive

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