Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Mathematical background
- Part II Quantum spaces and geometry
- Part III Noncommutative field theory and matrix models
- Part IV Matrix theory and gravity
- 11 Matrix theory: Maximally supersymmetric matrix models
- 12 Gravity as a quantum effect on quantum spacetime
- 13 Matrix quantum mechanics and the BFSS model
- 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
12 - Gravity as a quantum effect on quantum spacetime
from Part IV - Matrix theory and gravity
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
- Part IV Matrix theory and gravity
- 11 Matrix theory: Maximally supersymmetric matrix models
- 12 Gravity as a quantum effect on quantum spacetime
- 13 Matrix quantum mechanics and the BFSS model
- 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 core chapter, the one-loop effective action for Matrix theory on 3 + 1 dimensional branes is elaborated, and the Einstein–Hilbert term is obtained in the presence of fuzzy extra dimensions. Some justification for the stability of the background is given.
Keywords
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- Quantum Geometry, Matrix Theory, and Gravity , pp. 342 - 362Publisher: Cambridge University PressPrint publication year: 2024