Skip to main content
Log in

Calculation of the norm of bethe vectors in models with SU(3)-symmetry

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

A description of a generalized model with SU(3)-invariant R -matrix is given. The norms of Bethe vectors in these models are calculated. A representation for the scalar products in terms of the statistical sum with special boundary conditions is found.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. M. Gaudin, “La fonction d'onde de Bethe pour les modèles exacts de la mècanique statistique,” Comissariat à l'energie atomique, Paris, 1983.

    Google Scholar 

  2. V. E. Korepin, “Calculation for norms of Bethe wave functions,” Commun. Math. Phys.,86, 391–418 (1982).

    Google Scholar 

  3. L. D. Faddeev, “Integrable models in 1+1 dimensional quantum field theory,” in: Les Houches Lectures 1982, Eisevier Sci. Publishers (1984).

  4. P. P. Kulish and N. Yu. Reshetikhin, J. Sov. Math.,34, No. 5 (1986).

  5. V. O. Tarasov, Teor. Mat. Fiz.,63, No. 2, 175–195 (1985).

    Google Scholar 

  6. V. G. Drinfel'd, Dokl. Akad. Nauk SSSR,1283, No. 5, 1060–1064 (1985).

    Google Scholar 

  7. P. P. Kulish, N. Yu. Reshetikhin, and E. K. Sklyanin, Lett. Math. Phys.,5, No. 5, 393–403.

  8. P. P. Kulish and N. Yu. Reshetikhin, J. Phys. A,16, No. 16, L591-L596 (1983).

    Google Scholar 

  9. A. G. Izergin and V. E. Korepin, J. Sov. Math.,31, No. 6 (1985).

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 196–213, 1986.

The author thanks L. D. Faddeev, A. G. Izergin, V. E. Korepin, A. N. Kirillov, F. A. Smirnov, and P. P. Kulish for helpful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reshetikhin, N.Y. Calculation of the norm of bethe vectors in models with SU(3)-symmetry. J Math Sci 46, 1694–1706 (1989). https://doi.org/10.1007/BF01099200

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099200

Keywords

Navigation