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
10 - Higher-spin gauge theory on quantum spacetime
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
The higher-spin gauge theory arising on 3 + 1 dimensional covariant quantum spacetime is elaborated in detail, including the full fluctuation spectrum and the no-ghost theorem.
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- Quantum Geometry, Matrix Theory, and Gravity , pp. 291 - 316Publisher: Cambridge University PressPrint publication year: 2024