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
12 - Interactions
from Part IV - Outlook
Published online by Cambridge University Press: 31 March 2022
- 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
After a general discussion of string amplitudes we compute the 4-scalar amplitude and discuss properties of the 4-graviton amplitude, such as resonances and Regge trajectories. Then we introduce background fields and briefly discuss world-sheet beta functions and marginal deformations. We explain how effective actions can be obtained from either scattering amplitudes or beta functions. The string frame and Einstein frame are introduced and the universal part of the string effective action for graviton, Kalb–Ramond field, and dilaton is given. We also discuss background independence.
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- Information
- A Short Introduction to String Theory , pp. 137 - 154Publisher: Cambridge University PressPrint publication year: 2022