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Supersymmetry and Non-Commutative Geometry

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Quantum Fields and Quantum Space Time

Part of the book series: NATO ASI Series ((NSSB,volume 364))

Abstract

In these lectures we describe an approach to differential topology and geometry rooted in supersymmetric quantum theory. We show how the basic concepts and notions of differential geometry emerge from concepts and notions of the quantum theory of non-relativistic particles with spin, and how the classification of different types of differential geometry follows the classification of supersymmetries. One of our motivations is to construct some mathematical tools useful in quantum gravity.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, ETH-Hönggerberg, CH-8093, Zürich, Switzerland

    J. Fröhlich, O. Grandjean & A. Recknagel

Authors
  1. J. Fröhlich
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  2. O. Grandjean
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  3. A. Recknagel
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Editor information

Editors and Affiliations

  1. University of Utrecht, Utrecht, The Netherlands

    Gerard ’t Hooft

  2. Harvard University, Cambridge, Massachusetts, USA

    Arthur Jaffe

  3. University of Hamburg, Hamburg, Germany

    Gerhard Mack

  4. CNRS, University of Montpellier 2, Montpellier, France

    Pronob K. Mitter

  5. Laboratory of Particle Physics, Annecy-le-Vieux, Annecy-le-Vieux, France

    Raymond Stora

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Fröhlich, J., Grandjean, O., Recknagel, A. (1997). Supersymmetry and Non-Commutative Geometry. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Quantum Fields and Quantum Space Time. NATO ASI Series, vol 364. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1801-7_5

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  • DOI: https://doi.org/10.1007/978-1-4899-1801-7_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1803-1

  • Online ISBN: 978-1-4899-1801-7

  • eBook Packages: Springer Book Archive

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