Extra States in c < 1 String Theory

  • Sunil Mukhi
Part of the NATO ASI Series book series (NSSB, volume 295)

Abstract

A construction of elements of the BRS cohomology of ghost number ±1 in c < 1 string theory is described, and their two-point function computed on the sphere. The construction makes precise the relation between these extra states and null vectors. The physical states of ghost number +1 are found to be exact forms with respect to a “conjugate” BRS operator.

Keywords

Ghost Kato 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    C. Thorn, Nucl. Phys. B286 (1987) 61.MathSciNetADSGoogle Scholar
  2. 2.
    A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Nucl. Phys. B241 (1984) 333.MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    F. David, Mod. Phys. Lett. A3 (1988) 1651;ADSGoogle Scholar
  4. J. Distler and H. Kawai, Nucl. Phys. B321 (1989) 509.MathSciNetADSCrossRefGoogle Scholar
  5. 4.
    B.H. Lian and G.J. Zuckerman, Phys. Lett. B254 (1991) 417.MathSciNetADSGoogle Scholar
  6. 5.
    C. Imbimbo, S. Mahapatra and S. Mukhi, Genova/Tata Institute Preprint GEF-TH 8/91, TIFR/TH/91–27, May 1991.Google Scholar
  7. 6.
    L. Benoit and Y. Saint-Aubin, Phys. Lett. B215 (1988) 517.MathSciNetADSGoogle Scholar
  8. 7.
    M. Kato and S. Matsuda, in “Conformal Field Theory and Solvable Lattice Models”, Advanced Studies in Pure Mathematics 16, Ed. M. Jimbo, T. Miwa and A. Tsuchiya (Kinokuniya, 1988).Google Scholar
  9. 8.
    B.L. Feigin and D.B. Fuchs, Funct. Anal. and Appl. 16 (1982) 114.CrossRefGoogle Scholar
  10. 9.
    J. Polchinski, Texas preprint UTTG-39–90.Google Scholar
  11. 10.
    N. Seiberg, Rutgers Preprint RU-90–29 (1990).Google Scholar
  12. 11.
    S. Mukherji, S. Mukhi and A. Sen, Phys. Lett. B266 (1991) 337.MathSciNetADSGoogle Scholar
  13. 12.
    E. Witten, IAS Princeton preprint IASSNS-HEP-91/51, August 1991.Google Scholar
  14. 13.
    I.R. Klebanov and A.M. Polyakov, Princeton University preprint PUPT-1281, September 1991.Google Scholar
  15. 14.
    G. Moore, N. Seiberg and M. Staudacher, Rutgers-Yale preprint RU-91–11, YCTP-P11–91.Google Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Sunil Mukhi
    • 1
  1. 1.Tata Institute of Fundamental ResearchBombayIndia

Personalised recommendations