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Random Surfaces and Quantum Gravity pp 135–149Cite as

Strings Embedded in Dynkin Diagrams

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Part of the book series: NATO ASI Series ((NSSB,volume 262))

Abstract

We present a closed set of loop equations for strings having as a target space a Dynkin diagram of ADE type. The critical exponents for the order parameters are extracted from the exact expressions for the one-loop correlations in the scaling limit.

On leave from the Institute for Nuclear Research and Nuclear Energy, 72 Bld Lenin, 1784 Sofia, Bulgaria

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References

  1. V. Kazakov, Phys. Lett. 159B (1985) 303;

    MathSciNet  Google Scholar 

  2. F. David, Nucl. Phys. B257 (1985) 45;

    Article  ADS  Google Scholar 

  3. V. Kazakov, I. Kostov and A. Migdal, Phys. Lett. 157B (1985) 295;

    MathSciNet  ADS  Google Scholar 

  4. J. Fröhlich, “The Statistical Mechanics of Surfaces”, in Applications of Field Theory To Statistical Mechanics, ed. L. Garrido (Springer, 1985).

    Google Scholar 

  5. For a list of references and a good presentation of some latest results see: D. Gross and A.A. Migdal, Nucl. Phys.B340 (1990) 333.

    Google Scholar 

  6. A.A. Migdal, Phys. Rep. 102 (1983) 199.

    Article  ADS  Google Scholar 

  7. F. David, Mod. Phys. Lett. A, vol.5, n°13 (1990) 1019.

    Article  ADS  MATH  Google Scholar 

  8. R. Dijkgraaf, H. Verlinde and E. Verlinde, “Loop Equations and Virasoro constraints in Non-perturbative 2 - D Quantum gravity”, Princeton University preprint PUPT-1184, May 1990.

    Google Scholar 

  9. M. Fukuma, H. Kawai and R. Nakayama, “Continuum Schwinger - Dyson equation and Universal Structures in Two-Dimensional Quantum Gravity”, Tokyo preprint UT-562 (1990).

    Google Scholar 

  10. V. Knizhnik, A. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A3 (1988) 819;

    MathSciNet  ADS  Google Scholar 

  11. F. David, Mod. Phys. Lett. A3 (1988) 1651;

    ADS  Google Scholar 

  12. J. Distler and H. Kawai, Nucl. Phys. B321 (1989) 509.

    Article  MathSciNet  ADS  Google Scholar 

  13. M. Douglas, Phys. Lett. B238 (1990) 176.

    ADS  Google Scholar 

  14. I. Kostov, Nucl. Phys. B326 (1989) 583.

    Article  MathSciNet  ADS  Google Scholar 

  15. F. David, Phys. Lett. B159 (1985) 303;

    ADS  Google Scholar 

  16. I. Kostov and M. Mehta, Phys. Lett. B189 (1987) 118.

    MathSciNet  ADS  Google Scholar 

  17. E. Witten, Nucl. Phys. B340 (1990) 281.

    Article  MathSciNet  ADS  Google Scholar 

  18. R. Dijkgraaf and E. Witten, Nucl. Phys. B342 (1990) 486.

    Article  MathSciNet  ADS  Google Scholar 

  19. J. Distler, Nucl. Phys. B342 (1990) 523.

    Article  MathSciNet  ADS  Google Scholar 

  20. V. Kazakov, Mod. Phys. Lett. A4 (1989) 2125.

    MathSciNet  ADS  Google Scholar 

  21. J. Ambjorn, J. Jurkiewicz and Ju.M. Makeenko, NBI preprint, August 1990.

    Google Scholar 

  22. A. Cappelli, C. Itzykson and J.B. Zuber, Comm. Math. Phys. 113 (1987) 113.

    Article  MathSciNet  Google Scholar 

  23. V. Pasquier, Nucl. Phys. B285 [FS89] (1987) 162; J. Phys. 35 (1987) 5707.

    Google Scholar 

  24. M. Gaudin and I. Kostov, Phys. Lett. B220 (1989) 200.

    MathSciNet  ADS  Google Scholar 

  25. B. Duplantier and I. Kostov, Phys. Rev. Lett. 61 (1988) 1433;

    Article  MathSciNet  ADS  Google Scholar 

  26. I. Kostov, Mod. Phys. Lett. A4 (1989) 217.

    MathSciNet  ADS  Google Scholar 

  27. E. Brézin, V. Kazakov, Al. B. Zamolodchikov, Nucl. Phys. B338 (1990) 673.

    Article  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Service de Physique Théorique, Direction des Sciences de la Matière, CEN-Saclay, F-91191, Gif-sur-Yvette Cedex, France

    I. K. Kostov

Authors
  1. I. K. Kostov
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Editor information

Editors and Affiliations

  1. University of California, Berkeley, California, USA

    Orlando Alvarez

  2. Università di Roma II “Tor Vergata”, Rome, Italy

    Enzo Marinari

  3. Université Pierre et Marie Curie (Paris VI), Paris, France

    Paul Windey

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© 1991 Springer Science+Business Media New York

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Kostov, I.K. (1991). Strings Embedded in Dynkin Diagrams. In: Alvarez, O., Marinari, E., Windey, P. (eds) Random Surfaces and Quantum Gravity. NATO ASI Series, vol 262. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3772-4_9

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  • DOI: https://doi.org/10.1007/978-1-4615-3772-4_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6681-2

  • Online ISBN: 978-1-4615-3772-4

  • eBook Packages: Springer Book Archive

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