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
11 - Matrix theory: Maximally supersymmetric matrix models
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
This chapter discusses the IKKT matrix model and its quantization. This model is the basis for Matrix theory, which is distinguished by maximal supersymmetry, leading to benign properties at the quantum level. The one-loop effective action is elaborated explicitly.
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- Quantum Geometry, Matrix Theory, and Gravity , pp. 319 - 341Publisher: Cambridge University PressPrint publication year: 2024