Supersymmetry and Noncommutative Geometry

• Κύριοι συγγραφείς: Beenakker, Wim (Συγγραφέας), van den Broek, Thijs (Συγγραφέας), Suijlekom, Walter D. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: SpringerBriefs in Mathematical Physics, 9
• Θέματα: Physics.; Mathematical physics.; Elementary particles (Physics).; Quantum field theory.; Mathematical Methods in Physics.; Mathematical Physics.; Elementary Particles, Quantum Field Theory.

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...

Πίνακας περιεχομένων:

• 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.