Supersymmetry and noncommutative geometry [electronic resource] / Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom.
Beenakker, Wim, author.; Broek, Thijs van den, author.; Suijlekom, Walter D. van., 1978- author.
2016
QC174.17.S9
Available Online

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Title Supersymmetry and noncommutative geometry [electronic resource] / Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom.
Author Beenakker, Wim, author.
ISBN 9783319247984 (electronic book)
3319247980 (electronic book)
9783319247960
3319247964
DOI https://doi.org/10.1007/978-3-319-24798-4
Published Cham : Springer, [2016]
Copyright ©2016
Language English
Description 1 online resource : illustrations.
Item Number 10.1007/978-3-319-24798-4 doi
Call Number QC174.17.S9
Dewey Decimal Classification 539.7/25
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (viewed October 28, 2015).
Added Author Broek, Thijs van den, author.
Suijlekom, Walter D. van., 1978- author.
Series SpringerBriefs in mathematical physics ; v. 9.
Available in Other Form Print version: 9783319247960
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Introduction
Supersymmetry
Noncommutative geometry
Supersymmetric almost-commutative geometries
Noncommutative geometry and R-parity
Supersymmetric spectral triples
Conditions for a supersymmetric spectral action
Summary and conclusions
Appendix 1. The action from a building block of the third type
Appendix 2. Supersymmetric spectral actions: Proofs
Appendix 3. Auxiliary lemmas and identities
Supersymmetry breaking
Soft supersymmetry breaking
Soft supersymmetry breaking terms from the spectral action
Summary and conclusions
The noncommutative supersymmetric Standard Model
Obstructions for a supersymmetric theory
The building blocks of the MSSM
Identification of particles and sparticles.

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