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Supersymmetry and Noncommutative Geometry

Part of the SpringerBriefs in Mathematical Physics Book Series (volume 9)

DOI: 10.1007/978-3-319-24798-4

ISBN: 978-3-319-24796-0

Publisher: Springer International Publishing - Springer Journals

Oct 22, 2015

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Chapter 1Introduction

Beenakker, Wim; van den Broek, Thijs; van Suijlekom, Walter D.

Pages: 1 –21

[We introduce the core concepts and formalisms that are needed in our search for a noncommutative geometric description of supersymmetric theories. We start with a concise overview of supersymmetry and the minimal supersymmetric extension of the Standard Model (MSSM). We then provide a bird’s eye...
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Chapter 2Supersymmetric Almost-Commutative Geometries

Beenakker, Wim; van den Broek, Thijs; van Suijlekom, Walter D.

Pages: 23 –106

[We give a systematic analysis of the possibilities for 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. We come up with an approach in which we identify the basic...
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Chapter 3Supersymmetry Breaking

Beenakker, Wim; van den Broek, Thijs; van Suijlekom, Walter D.

Pages: 107 –118

[With the previously obtained classification of potentially supersymmetric models in noncommutative geometry we now address the question on how to naturally break supersymmetry. In this chapter we will shortly review soft supersymmetry breaking and analyze the question which soft supersymmetry...
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Chapter 4The Noncommutative Supersymmetric Standard Model

Beenakker, Wim; van den Broek, Thijs; van Suijlekom, Walter D.

Pages: 119 –137

[We apply our formalism for supersymmetric theories in the context of noncommutative geometry to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model (MSSM). We obtain the exact particle content of the MSSM and identify (in form) its interactions, but...

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