Skip to main content

Part of the book series: Lecture Notes in Physics ((LNP,volume 759))

  • 5173 Accesses

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 64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
Price excludes VAT (USA)
  • Durable hardcover 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Beilinson and V. Drinfeld. Chiral Algebras. AMS Colloquium Publications 51, AMS, Providence, RI, 2004.

    Google Scholar 

  2. A.A. Belavin, A.M. Polyakov, and A.B. Zamolodchikov. In- finite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B 241 (1984), 333–380.

    Article  ADS  MathSciNet  Google Scholar 

  3. F. Constantinescu and H.F. de Groote. Geometrische und Algebraische Methoden der Physik: Supermannigfaltigkeiten und Virasoro-Algebren. Teubner, Stuttgart, 1994.

    MATH  Google Scholar 

  4. G. Felder, J. Fröhlich, and J. Keller. On the structure of unitary conformal field theory, I. Existence of conformal blocks. Comm. Math. Phys. 124 (1989), 417–463.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. D. Friedan, Z. Qiu, and S. Shenker. Details of the nonunitary proof for highest weight representations of the Virasoro algebra. Comm. Math. Phys. 107 (1986), 535–542.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. D. Friedan and S. Shenker. The analytic geometry of two-dimensional conformal field theory. Nucl. Phys. B 281 (1987), 509–545.

    Article  ADS  MathSciNet  Google Scholar 

  7. K. Gawedski. Conformal field theory. Sém. Bourbaki 1988–89, Astérisque 177–178 (no 704) (1989) 95–126.

    Google Scholar 

  8. P. Ginsparg. Introduction to Conformal Field Theory. Fields, Strings and Critical Phenomena, Les Houches 1988, Elsevier, Amsterdam, 1989.

    Google Scholar 

  9. P. Goddard, A. Kent, and D. Olive. Unitary representations of the Virasoro and Super-Virasoro algebras. Comm. Math. Phys. 103 (1986), 105–119.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. P. Goddard and D. Olive. Kac-Moody and Virasoro algebras in relation to quantum mechanics. Int. J. Mod. Phys. A1 (1989), 303–414.

    ADS  MathSciNet  Google Scholar 

  11. L. Guieu and C. Roger. L’algèbre et le groupe de Virasoro: aspects géometriques et algébriques, généralisations. Preprint, 2005.

    Google Scholar 

  12. R. Goodman and N.R. Wallach. Projective unitary positive-energy representations of Diff(S). Funct. Anal. 63 (1985), 299–321.

    Article  MATH  MathSciNet  Google Scholar 

  13. V. Kac. Highest weight representations of infinite dimensional Lie algebras. In: Proc. Intern. Congress Helsinki, Acad. Sci. Fenn., 299–304, 1980.

    Google Scholar 

  14. V. Kac and A.K. Raina. Highest Weight Representations of Infinite Dimensional Lie Algebras. World Scientific, Singapore, 1987.

    MATH  Google Scholar 

  15. G. Moore and N. Seiberg. Classical and conformal field theory. Comm. Math. Phys. 123 (1989), 177–254.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. G. Segal. The definition of conformal field theory. Unpublished Manuscript, 1988. Reprinted in Topology, Geometry and Quantum Field Theory, U. Tillmann (Ed.), 432–574, Cambridge University Press, Cambridge, 2004.

    Google Scholar 

  17. G. Segal. Two dimensional conformal field theories and modular functors. In: Proc. IXth Intern. Congress Math. Phys. Swansea, 22–37, 1988.

    Google Scholar 

  18. G. Segal. Geometric aspects of quantum field theory. Proc. Intern. Congress Kyoto 1990, Math. Soc. Japan, 1387–1396, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Schottenloher, M. (2008). Representation Theory of the Virasoro Algebra. In: A Mathematical Introduction to Conformal Field Theory. Lecture Notes in Physics, vol 759. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68628-6_6

Download citation

Publish with us

Policies and ethics