Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Mathematical background
- Part II Quantum spaces and geometry
- Part III Noncommutative field theory and matrix models
- 6 Noncommutative field theory
- 7 Yang–Mills matrix models and quantum spaces
- 8 Fuzzy extra dimensions
- 9 Geometry and dynamics in Yang–Mills matrix models
- 10 Higher-spin gauge theory on quantum spacetime
- Part IV Matrix theory and gravity
- Appendix A Gaussian integrals over matrix spaces
- Appendix B Some SO(D) group theory
- Appendix C Torsion identities
- Appendix D Some integrals
- Appendix E Functions on coadjoint orbits
- Appendix F Glossary and notations
- References and Further Reading
- Index
8 - Fuzzy extra dimensions
from Part III - Noncommutative field theory and matrix models
Published online by Cambridge University Press: 04 April 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Mathematical background
- Part II Quantum spaces and geometry
- Part III Noncommutative field theory and matrix models
- 6 Noncommutative field theory
- 7 Yang–Mills matrix models and quantum spaces
- 8 Fuzzy extra dimensions
- 9 Geometry and dynamics in Yang–Mills matrix models
- 10 Higher-spin gauge theory on quantum spacetime
- Part IV Matrix theory and gravity
- Appendix A Gaussian integrals over matrix spaces
- Appendix B Some SO(D) group theory
- Appendix C Torsion identities
- Appendix D Some integrals
- Appendix E Functions on coadjoint orbits
- Appendix F Glossary and notations
- References and Further Reading
- Index
Summary
This chapter explains the generation of fuzzy extra dimensions in the context of ordinary Yang–Mills gauge theory and Yang–Mills matrix models. This will play an important role in the context of gravity.
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- Quantum Geometry, Matrix Theory, and Gravity , pp. 252 - 259Publisher: Cambridge University PressPrint publication year: 2024