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
- Part IV Outlook
- 12 Interactions
- 13 Dimensional Reduction and T-Duality
- 14 Fermions and Supersymmetry
- 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
13 - Dimensional Reduction and T-Duality
from Part IV - Outlook
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
- Part IV Outlook
- 12 Interactions
- 13 Dimensional Reduction and T-Duality
- 14 Fermions and Supersymmetry
- 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 use circle and orbicircle compactifications to illustrate generic features of string compactifications, including non-abelian gauge symmetry enhancement, Kac–Moody algebras and the Higgs effect. T-duality is introduced for both closed and open strings. Toroidal compactification are discussed in some detail, and two-tori are used as a proxi for Calabi–Yau compactifications and mirror symmetry. We discuss the vacuum selection problem and introduce the concepts of ‘landscape’ and ‘swampland’.
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- Information
- A Short Introduction to String Theory , pp. 155 - 214Publisher: Cambridge University PressPrint publication year: 2022