Skip to main content

Anti-de Sitter Quantum Field Theory and the AdS-CFT Correspondence

  • Conference paper
  • 210 Accesses

Abstract

We give a short account of a new approach to anti-de Sitter Quantum Field Theory that is based on the assumption of certain analyticity properties of the n-point correlation functions. We then discuss the application of this formalism to the construction of conformai field theories that are naturally obtained on the covering of the cone asymptotic to the AdS manifold, and that satisfy the axioms of Luscher an Mack.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Maldacena, J.J.: Adv. Theor. Math. Phys. 2, 231; hep-th/9711200

    Google Scholar 

  2. Fronsdal, C. (1974): Phys. Rev. D 10, 589

    Article  MathSciNet  ADS  Google Scholar 

  3. Dirac, P.A.M. (1935): Ann. Math. 36, 657

    Article  MathSciNet  Google Scholar 

  4. Avis, S.J., Isham, C.J., Storey, D. (1978): Phys. Rev. D 18, 3565

    Article  MathSciNet  ADS  Google Scholar 

  5. Luscher, M., Mack, G. (1975): Commun. Math. Phys. 41, 203

    Article  MathSciNet  ADS  Google Scholar 

  6. Gubser, S.S., Klebanov, I.R., Polyakov, A.M. (1998): Phys. Lett. B 428, 105; hep-th/9802109

    Article  MathSciNet  ADS  Google Scholar 

  7. Witten, E. (1998): Adv. Theor. Math. Phys. 2, 253; hep-th/9802150

    MathSciNet  ADS  MATH  Google Scholar 

  8. Aharony, O., Gubser, S.S., Maldacena, J., Ooguri, H., Oz, Y. (2000): Phys. Rept. 323, 183

    Article  MathSciNet  ADS  Google Scholar 

  9. Bros J., Epstein, H., Moschella, U. (1998): In preparation

    Google Scholar 

  10. Bertola, M., Bros, J., Moschella, U. and Schaeffer, R. (2000): Nucl. Phys. B 587, 619; hep-th/9908140

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Bertola, M., Bros, J., Gorini, V., Moschella, U., Schaeffer, R. (2000): Nucl. Phys. B 581, 575; hep-th/0003098

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Streater, R.F., Wightman, A.S. (1964): PCT, spin and statistics, and all that. W.A. Benjamin

    Google Scholar 

  13. Bros, J., Epstein, H., Moschella, U. (1998): Commun. Math. Phys. 196, 535; gr-qc/9801099

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Mack, G., Todorov, LT. (1973): Phys. Rev. D 8, 1764

    Article  ADS  Google Scholar 

  15. Bateman, H. (1954): Higher transcendental functions. McGraw-Hill

    Google Scholar 

  16. Breitenlohner, P., Freedman, D.Z. (1982): Ann. Phys. 144, 249

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Klebanov, I.R., Witten, E. (1999): Nucl. Phys. B 556, 89

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Giddings, S.B. (1999): Phys. Rev. D 61, 106008

    Article  MathSciNet  ADS  Google Scholar 

  19. Callan, C.G., Wilczek, F. (1990): Nucl. Phys. B 340, 366

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Italia

About this paper

Cite this paper

Moschella, U. (2002). Anti-de Sitter Quantum Field Theory and the AdS-CFT Correspondence. In: Cianci, R., Collina, R., Francaviglia, M., Fré, P. (eds) Recent Developments in General Relativity, Genoa 2000. Springer, Milano. https://doi.org/10.1007/978-88-470-2101-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-88-470-2101-3_14

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-0162-6

  • Online ISBN: 978-88-470-2101-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics