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
9 - Geometry and dynamics in Yang–Mills matrix models
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
In this chapter, the geometric description of generic branes in Yang–Mills matrix model is elaborated, and structures familiar from gravity are identified. The dynamics resulting from the classical model is interpreted as pre-gravity.
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- Quantum Geometry, Matrix Theory, and Gravity , pp. 260 - 290Publisher: Cambridge University PressPrint publication year: 2024