Skip to main content
SpringerLink
Log in

Remarks on the physical states and the chiral algebra of 2D gravity coupled toC≤1 matter

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

Some elaboration is givent to the structure of physical states in 2D gravity coupled to C≤1 matter, and to the chiral algebra (w∞ of CM=1 theory which has been found recently, in the continuum approach, by Witten and by Klebanov and Polyakov. It is then shown that the chiral algebra is realized as well in the minimal models of gravity (CM<1), so that it stands as a general symmetry of 2D gravity theories.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Lian B., Zuckerman G., Phys. Lett.254B (1991), 417;266B, 21.

    Google Scholar 

  2. Bouwknegt P., McCarthy J., Pilch K., Preprint CERN-TH6162/91, July 1991; 6279/91, October 1991.

  3. Witten E., Preprint SLAC-PUB-IASSNS-HEP-91/51, August 1991.

  4. Klebanov I.R., Polyakov A.M., Mod. Phys. Lett.A6 (1991), 3273.

    Google Scholar 

  5. Avan J., Jevicki A. Phys. Lett.266B (1991), 35; Preprint BROWN-HET-824 839; Mimic D., Polchinski J., Yang Z., Preprint UTTG-16-91; Moore G., Seiberg N., Preprint RU-91-29, YCTP-P19-91 Das S., Dhar A., Mandal G., Wadia S., Preprints IASSNS-HEP-91/52, 91/72.

    Google Scholar 

  6. Dotsenko Vl.S., Preprint PAR-LPTHE 92-4, January 1992.

  7. Felder G., Nucl. Phys.B317 (1989), 215;B324, 548.

    Google Scholar 

  8. Govindarajan S., Jayaraman T., John V., Majumdar P., Preprint IMSc-91/40, December 1991.

  9. Dotsenko Vl.S., Mod. Phys. Lett.A6 (1991), 3601.

    Google Scholar 

  10. Kitazawa Y., Phys. Lett.B265 (1991), 262.

    Google Scholar 

  11. Goulian M., Li M., Phys. Rev. Lett.66 (1991), 2051; Francesco P.Di., Kutasov D., Phys.Lett.B261 (1991), 385; Alvarez-Gaumé L., Barbón J.L.F., Gómez C., Preprint SLAC-PUB-CERN-TH.6142/91, June 1991; Aoki K., D'Hoker E., Preprint UCLA/91/TEP/32, August 1991; Gervais J.-L., Preprint LPTENS 91/28, September 1991; Sakai N., Tanii Y.,// Prog. Theor. Phys. vol. 86, 1991, p. 547.

    Google Scholar 

  12. Dotsenko Vl.S., Fateev V.A., Nucl. Phys.B251 (1985), 691; Phys. Lett.154B (1985), 291.

    Google Scholar 

  13. Zamolodchikov A.B., Fateev V.A., Yad. Fiz.43 (1986), 1031; Sov. J. Nucl. Phys.43 (1986), 637.

    Google Scholar 

  14. Frenkel I.B., Kac V.G., Invent. Math.62 (1980), 23; Segal G., Commun. Math. Phys.80 (1981), 301.

    Google Scholar 

  15. Dotsenko Vl.S., Adv. Stud. in Pure Math.16 (1988), 123.

    Google Scholar 

  16. Dotsenko Vl. S., Preprint CERN-TH.6502/92, PAR-LPTHE 92-17, May 1992.

  17. Chair N., Dobrev V.K., Kanno H., Preprint IC/92/17, January 1992.

Download references

Authors
  1. Vi. S. Dotsenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to the memory of the late Professor M. C. Polivanov

L. D. Landau Institute of Theortetical Physics, Russian Academy of Sciences. LPTHE, Laboratoire associé No. 280 au CNRS, Universitè Pierre et Marie Curie, Paris VI, France. Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 92, No. 3, pp. 357–373, September, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dotsenko, V.S. Remarks on the physical states and the chiral algebra of 2D gravity coupled toC≤1 matter. Theor Math Phys 92, 938–951 (1992). https://doi.org/10.1007/BF01017072

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017072

Keywords

Search

Navigation