Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Introduction
- Part I From Particles to Strings
- Part II TheWorld-Sheet Perspective
- Part III The Space-Time Perspective
- 7 Covariant Quantisation I
- 8 Intermezzo – Representations of the Poincaré Group
- 9 Covariant Quantisation II
- 10 Light-Cone Quantisation
- 11 Partition Functions II
- Part IV Outlook
- Appendix A Notation and Conventions
- Appendix B Units, Constants, and Scales
- Appendix C Fourier Series and Fourier Integrals
- Appendix D Modular Forms and Special Functions
- Appendix E Young Tableaux
- Appendix F Gaussian Integrals and Integral Exponential Function
- Appendix G Lie Algebras, Lie Groups, and Symmetric Spaces
- References
- Index
8 - Intermezzo – Representations of the Poincaré Group
from Part III - The Space-Time Perspective
Published online by Cambridge University Press: 31 March 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Introduction
- Part I From Particles to Strings
- Part II TheWorld-Sheet Perspective
- Part III The Space-Time Perspective
- 7 Covariant Quantisation I
- 8 Intermezzo – Representations of the Poincaré Group
- 9 Covariant Quantisation II
- 10 Light-Cone Quantisation
- 11 Partition Functions II
- Part IV Outlook
- Appendix A Notation and Conventions
- Appendix B Units, Constants, and Scales
- Appendix C Fourier Series and Fourier Integrals
- Appendix D Modular Forms and Special Functions
- Appendix E Young Tableaux
- Appendix F Gaussian Integrals and Integral Exponential Function
- Appendix G Lie Algebras, Lie Groups, and Symmetric Spaces
- References
- Index
Summary
We give a mini-review of representations of the Poincaré group, emphasizing the role of irreducible unitary representations in identifying ‘elementary particles’. Young tableaux are used to identify irreducible representations of the little group and thus the particle content of the excitation spectrum of a string.
- Type
- Chapter
- Information
- A Short Introduction to String Theory , pp. 99 - 103Publisher: Cambridge University PressPrint publication year: 2022