Skip to main content

Part of the book series: NATO Science Series ((NAII,volume 104))

Abstract

We point out the existence of a class of non-Gaussian yet free “quantum field theories” in 0+0 dimensions, based on a cubic action classified by simple Lie groups. A “three-pronged” version of Wick’s theorem applies.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. D. Kazhdan, “The minimal representation of D 4, in Operator Agebras, Unitary representations, enveloping algebras and invariant theories, A. Connes et al eds., Progress in Mathematics 92, Birkhäuser. 1990.

    Google Scholar 

  2. P. Etingof, D. Kazhdan, A. Polishchuk, Selecta Math. (N.S.) 8 (2002) 27 [math.AG/0003009]

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Gunaydin, K. Koepsell and H. Nicolai, Commun. Math. Phys. 221, 57 (2001) [arXiv:hep-th/0008063].

    Article  MathSciNet  ADS  Google Scholar 

  4. D. Kazhdan, G. Savin, Israel Math. Conf. Proc. 2 (1989), 209.

    MathSciNet  Google Scholar 

  5. D. Kazhdan, B. Pioline and A. Waldron, Commun. Math. Phys. 226, 1 (2002) [hep-th/0107222]; D. Kazhdan, A. Polishchuk [math.RT/0209315]

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. B. Pioline and A. Waldron, to appear in Phys. Rev. Lett [hep-th/0209044].

    Google Scholar 

  7. B. Pioline, H. Nicolai, J. Plefka and A. Waldron, JHEP 0103, 036 (2001) [hep-th/0102123]; B. Pioline and A. Waldron, to appear.

    Article  MathSciNet  ADS  Google Scholar 

  8. L. Takhtajan, Commun. Math. Phys. 160, 295 (1994) [hep-th/9301111]; H. Awata

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Li, D. Minic and T. Yoneya, JHEP 0102, 013 (2001) [arXiv:hep-th/9906248].

    MathSciNet  Google Scholar 

  10. B. Pioline, Phys. Rev. D 66, 025010 (2002) [hep-th/0201257].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Pioline, B. (2003). Cubic Free Field Theory. In: Baulieu, L., Rabinovici, E., Harvey, J., Pioline, B., Windey, P. (eds) Progress in String, Field and Particle Theory. NATO Science Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0211-0_37

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0211-0_37

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1361-4

  • Online ISBN: 978-94-010-0211-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics