Skip to main content

Conformal Symmetry in D Dimensions

  • Chapter
  • First Online:
String Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 980))

  • 1719 Accesses

Abstract

Starting with this chapter, we discuss general properties of conformal field theories (CFT). The goal is not to be exhaustive, but to provide a short introduction and to gather the concepts and formulas that are needed for string theory. However, the subject is presented as a standalone topic such that it can be of interest for a more general public.

The conformal group in any dimension is introduced in this chapter. The specific case Dā€‰=ā€‰2, which is the most relevant for the current book, is developed in the following chapters.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. P.D. Francesco, P. Mathieu, D. Senechal, Conformal Field Theory, 2nd edn. (Springer, Berlin, 1999)

    MATHĀ  Google ScholarĀ 

  2. J.D. Qualls, Lectures on Conformal Field Theory (2015) arXiv: 1511.04074

    Google ScholarĀ 

  3. S. Rychkov, EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions (Springer, Berlin, 2016). arXiv: 1601.05000

    Google ScholarĀ 

  4. M. Schottenloher, A Mathematical Introduction to Conformal Field Theory, 2nd edn. (Springer, Berlin, 2008)

    MATHĀ  Google ScholarĀ 

  5. D. Simmons-Duffin, TASI Lectures on the Conformal Bootstrap (A Caltech Library Service, Pasadena, 2016). arXiv: 1602.07982

    Google ScholarĀ 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

Ā© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Erbin, H. (2021). Conformal Symmetry in D Dimensions. In: String Field Theory. Lecture Notes in Physics, vol 980. Springer, Cham. https://doi.org/10.1007/978-3-030-65321-7_5

Download citation

Publish with us

Policies and ethics