Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Introduction
- Part I From Particles to Strings
- Part II TheWorld-Sheet Perspective
- 4 The Free Massless Scalar Field on the Complex Plane
- 5 Two-Dimensional Conformal Field Theories
- 6 Partition Functions I
- Part III The Space-Time Perspective
- 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
4 - The Free Massless Scalar Field on the Complex Plane
from Part II - TheWorld-Sheet 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
- 4 The Free Massless Scalar Field on the Complex Plane
- 5 Two-Dimensional Conformal Field Theories
- 6 Partition Functions I
- Part III The Space-Time Perspective
- 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 use the case of a single string coordinate to introduce two-dimensional conformal field theory in a bottom-up approach, emphasising the role of operator product expansions and of the state-operator correspondence.
- Type
- Chapter
- Information
- A Short Introduction to String Theory , pp. 49 - 62Publisher: Cambridge University PressPrint publication year: 2022
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