Supersymmetry and Noncommutative Geometry
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 co...
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| Other Authors: | , |
| Format: | Electronic Book |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2016
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| Edition: | 1st ed. 2016 |
| Series: | SpringerBriefs in mathematical physics ;
v. 9 |
| Subjects: |
Table of Contents:
- 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