Skip to main content

q-Deformation of SU(1,1) Conformal Ward Identities and q-Strings

  • Chapter
Book cover Differential Geometric Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((NSSB,volume 245))

  • 706 Accesses

Abstract

We define a q-deformation of the SU(1, 1) Ward identities of 2d conformally invariant field theory based on the quantum SU(1,1) algebra. The deformation preserves the main properties of the conformai Ward identities, namely that the two and three point functions are completely determined. A connection with a q-deformation of the Veneziano amplitude is revealed.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Bernard and A. LeClair, Princeton University preprint PUPT-1123, to appear in Physics Letters B.

    Google Scholar 

  2. L. J. Romans, A New Family of Dual Models (‘q-strings’), Univ. Southern Cal. Preprint USC-88/HEP014.

    Google Scholar 

  3. D. D. Coon and Simon Yu, Phys. Rev. D 10 (1974) 3780, and references therein.

    Article  ADS  Google Scholar 

  4. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nucl. Phys. B241 (1984) 333.

    Article  MathSciNet  ADS  Google Scholar 

  5. P. P. Kulish and N. Yu. Reshetikhin, J. Soviet Math. 23 (1983) 2435.

    Article  Google Scholar 

  6. M. Jimbo, Lett. Math. Phys. 10 (1985) 63.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. V. G. Drinfel’d, Doklady Akad. Nauk. SSSR 283 (1985) 1060.

    MathSciNet  Google Scholar 

  8. E. K. Sklyanin, Funct. Anal. Appl. 17 (1983) 34.

    MathSciNet  Google Scholar 

  9. G. E. Andrews, q-stries: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra, AMS Regional Conference Series 66 (1986).

    Google Scholar 

  10. V. G. Drinfel’d, Sov. Math. Dokl. 36 (1988) 212.

    MathSciNet  MATH  Google Scholar 

  11. I. B. Frenkel and N. Jing, Vertex Representations of Quantum Affine Algebras, Yale Math. Preprint, (1988)

    Google Scholar 

  12. D. Bernard, Lett. Math. Phys. 17 (1989)

    Google Scholar 

  13. M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory I, Cambridge University Press (1987).

    Google Scholar 

  14. Talk delivered at this conference, and references therein.

    Google Scholar 

  15. S. L. Woronowicz, Comm. Math. Phys. 111 (1987) 613.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Yu. Manin, Quantum Groups and Non-Commutative Geometry, in Publication du Centre de Recherches Mathématiques, (1988).

    Google Scholar 

  17. T. Masuda et al., C. R. Acad. Sci. Paris, t.307, Série I, p559, 1988.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

LeClair, A. (1990). q-Deformation of SU(1,1) Conformal Ward Identities and q-Strings. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_36

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-9148-7_36

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9150-0

  • Online ISBN: 978-1-4684-9148-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics