Skip to main content

Quantum Symmetry of Rational Conformal Models

  • Conference paper
Mathematical Physics X

Abstract

Recent progress in understanding the Uq(sl2) symmetry of sû(2) k current algebra and of“thermal” minimal conformal models is previewed. New features include the introduction of a pair of regular bases of 4-point invariants in the space of conformal blocks and in the quantum group space as well as a derivation of the results for minimal models from the current algebra results for a fractional level k.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Alekseev, A., Faddeev, L., Semenov-Tian-Shansky, M., Volkov, A.: The unravelling of the quantum group structure in the WZNW theory. Geneva, preprint CERN-TH-5981/91;

    Google Scholar 

  2. Gawedzki, K.: Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory. Bures-sur-Yvette preprint IHES/P/90/92;

    Google Scholar 

  3. Chu, M., Goddard, P., Halliday, I., Olive, D., Schwimmer, A.: Quantization of the Wess-Zumino-Witten model on a circle. Cambridge (U.K.) and Santa Barbara preprint DAMTP 90–41, NSF-ITP-90–230 (April 1991)

    Google Scholar 

  4. Ganchev, A., Petkova, V.: Phys.Lett. B233, 374 (1989);

    Article  MathSciNet  ADS  Google Scholar 

  5. Moore, G., Reshetikhin, N.: Nucl.Phys. B328, 557 (1989);

    Article  MathSciNet  ADS  Google Scholar 

  6. Pasquier, V., Saleur H.: Nucl.Phys. B330 523, (1990);

    Article  MathSciNet  ADS  Google Scholar 

  7. Fröhlich, J., Kerler, T.: On the role of quantum groups in low dimensional local quantum field theories. Lecture Notes in Mathematics, Springer (to be published)

    Google Scholar 

  8. Todorov, I.T.: Quantum Groups as symmetries of chiral conformal algebras. In: Quantum Groups, Proc. of the 8th International Workshop on Math. Phys. at ASI, Clausthal 1989, H.-D. Doebner, J.-D. Hennig (Eds.), Lecture Notes in Physics 370 Springer, Berlin 1990, pp. 231–277;

    Google Scholar 

  9. Hadjiivanov, L.K., Paunov, R.R., Todorov, LT.: Nucl.Phys. B (Proc. Suppl.) 18B, 141 (1990);

    MathSciNet  MATH  ADS  Google Scholar 

  10. Hadjiivanov, L.K., Paunov, R.R., Todorov, LT.: Nucl.Phys. B356, 387 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  11. Gomez, C., Sierra, G.: Phys.Lett. B240, 149 (1990);

    Article  MathSciNet  ADS  Google Scholar 

  12. Gomez, C., Sierra, G.: Nucl.Phys. B (Proc. Suppl.) 18B, 107 (1990);

    MathSciNet  MATH  ADS  Google Scholar 

  13. Gomez, C., Sierra, G.: Nucl.Phys. B352, 791 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  14. Gawedzki, K.: Nucl.Phys. B (Proc. Suppl.) 18B, 78 (1990)

    MathSciNet  MATH  ADS  Google Scholar 

  15. Mack, G., Schomerus, V.: Comm.Math.Phys. 134, 139 (1990); Quasi Hopf quantum symmetry in quantum theory. Hamburg preprint DESY 91–037

    Article  MathSciNet  MATH  ADS  Google Scholar 

  16. Furlan, P., Stanev, Ya.S., Todorov, I.T.: Coherent state operators and n-point invariants for U q (sl(2)). Bures-sur-Yvette & Orsay preprint IHES/P/ 91/28, IPNO/TH91–16; Lett.Math.Phys. (to be published)

    Google Scholar 

  17. Cappelli, A., Itzykson, C., Zuber, J.-B.: Nucl.Phys. B280, 445 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  18. Rehren, K.-H., Schroer, B.: Nucl.Phys. B312, 715 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  19. Knizhnik, V.G., Zamolodchikov, A.B.: Nucl.Phys.B247, 83 (1984);

    Article  MathSciNet  ADS  Google Scholar 

  20. Zamolodchikov, A.B., Fateev, V.A.: Yad.Fiz 43, 1031 (1986) (English transi.: Sov.J.Nucl.Phys. 43, 657 (1986))

    Google Scholar 

  21. Christe, P., Flume, R.: Nucl.Phys. B282, 466 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  22. Furlan, P., Ganchev, A., Paunov, R., Petkova, V.: Reduction of the rational spin sl(2, ℂ) WZNW conformai theory. SISSA & Clausthal preprint SISSA-67/91/FM, KA-THEP-1991–3

    Google Scholar 

  23. Stanev, Ya.S., Todorov, I.T., Hadjiivanov, L.K.: Quantum group extended chiral current algebra models. (To be submitted to Phys.Lett.B.)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hadjiivanov, L.K., Stanev, Y.S., Todorov, I.T. (1992). Quantum Symmetry of Rational Conformal Models. In: Schmüdgen, K. (eds) Mathematical Physics X. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77303-7_52

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77303-7_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77305-1

  • Online ISBN: 978-3-642-77303-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics