Supersymmetry and Noncommutative Geometry

  • Wim Beenakker
  • Thijs van den Broek
  • Walter D. Suijlekom

Part of the SpringerBriefs in Mathematical Physics book series (BRIEFSMAPHY, volume 9)

Table of contents

  1. Front Matter
    Pages i-x
  2. Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom
    Pages 1-21
  3. Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom
    Pages 23-106
  4. Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom
    Pages 107-118
  5. Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom
    Pages 119-137

About this book


In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far.
The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic `building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model.
This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories.


Almost-commutative Geometries Minimal Supersymmetric Standard Model Noncommutative Supersymmetric Standard Model R-parity Supersymmetry Breaking Spectral Action Applications of Noncommutative Geometry in HEP Supersymmetric Spectral Triples

Authors and affiliations

  • Wim Beenakker
    • 1
  • Thijs van den Broek
    • 2
  • Walter D. Suijlekom
    • 3
  1. 1.Institute for Mathematics, Astrophysics and Particle PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  2. 2.Institute for Mathematics, AstrophysicsRadboud University NijmegenNijmegenThe Netherlands
  3. 3.Institute for Mathematics, Astrophysics and Particle PhysicsRadboud University NijmegenNijmegenThe Netherlands

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-24796-0
  • Online ISBN 978-3-319-24798-4
  • Series Print ISSN 2197-1757
  • Series Online ISSN 2197-1765
  • Buy this book on publisher's site
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