Elsevier

Nuclear Physics B

Volume 477, Issue 2, 14 October 1996, Pages 577-605
Nuclear Physics B

Conformal bootstrap in Liouville field theory

https://doi.org/10.1016/0550-3213(96)00351-3Get rights and content

Abstract

We consider the recently proposed analytic expression for the three-point function in the Liouville field theory on a sphere. It is verified that in the classical limit this expression reduces to what the classical Liouville theory predicts. Using the suggested three-point function as the structure constant of the operator algebra we construct the four-point function of the exponential fields and check numerically that it satisfies the conformal bootstrap equations. The Liouville reflection amplitude which follows explicitly from the structure constants is also considered and compared with the results of the Bethe ansatz technique.

References (35)

  • A. Polyakov

    Phys. Lett. B

    (1981)
  • T. Curtright et al.

    Phys. Rev. Lett.

    (1982)
    E. Braaten et al.

    Phys. Lett. B

    (1982)
    E. Braaten et al.

    Ann. Phys.

    (1983)
  • J.-L. Gervais et al.

    Nucl. Phys. B

    (1984)
    J.-L. Gervais et al.

    Nucl. Phys. B

    (1984)
    J.-L. Gervais et al.

    Nucl. Phys. B

    (1985)
  • E. D'Hoker et al.

    Phys. Rev. D

    (1982)
  • V. Kazakov

    Phys. Lett.

    (1985)
    F. David

    Nucl. Phys. B

    (1985)
    V. Kazakov et al.

    Phys. Lett.

    (1985)
  • E. Brézin et al.

    Phys. Lett. B

    (1990)
    M. Douglas et al.

    Nucl. Phys. B

    (1990)
    D. Gross et al.

    Phys. Rev. Lett.

    (1990)
  • V. Knizhnik et al.

    Mod. Phys. Lett. A

    (1988)
  • F. David

    Mod. Phys. Lett. A

    (1988)
  • J. Distler et al.

    Nucl. Phys. B

    (1989)
  • M. Bershadsky et al.

    Phys. Rev. Lett.

    (1990)
  • J. Polchinski

    Remarks on Liouville Field theory

    J. Polchinski

    Nucl. Phys. B

    (1991)
  • M. Goulian et al.

    Phys. Rev. Lett.

    (1991)
  • A. Polyakov

    Mod. Phys. Lett. A

    (1991)
  • P. Di Francesco et al.

    Phys. Lett. B

    (1991)
  • Vl. Dotsenko

    Mod. Phys. Lett. A

    (1991)
  • H. Dorn et al.

    Phys. Lett. B

    (1992)
  • H. Dorn et al.

    Nucl. Phys. B

    (1994)
  • Cited by (873)

    View all citing articles on Scopus
    View full text