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The effective action of W 3-gravity

  • Gravitation, Astrophysics
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Abstract

A new method for integrating anomalous Ward identities and finding the effective action is proposed. Two-dimensional supergravity and W 3-gravity are used as examples to demonstrate its potential. An operator is introduced that associates each physical quantity with a Ward identity, i.e., a quantity that is transformed without anomalous terms and can be nullified in a consistent manner. A covariant form of the action for matter fields interacting with a gravitational and W 3-gravitational background is proposed.

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References

  1. A. B. Zamolodchikov, Teoret. Mat. Fiz. 65, 347 (1985).

    MathSciNet  Google Scholar 

  2. I. M. Gel’fand and L. A. Dikii, Preprint IFM of the USSR Academy of Sciences, Moscow (1978); V. G. Drinfel’d and V. V. Sokolov, Current Problems of Mathematics [in Russian], Vol. 24, VINITI, Moscow (1984).

  3. C. M. Hull, Phys. Lett. B 240, 110 (1990).

    ADS  MathSciNet  Google Scholar 

  4. K. Schoutens, A. Servin, and P. van Nieuvenhuizen, Phys. Lett. B 243, 248 (1990).

    ADS  Google Scholar 

  5. K. Schoutens, A. Servin, and P. van Nieuvenhuizen, Nucl. Phys. B 364, 584 (1991); 371, 315 (1992).

    Article  ADS  Google Scholar 

  6. H. Ooguri, K. Schoutens, A. Servin, and P. van Nieuvenhuizen, Comm. Math. Phys. 145, 515 (1992).

    Article  MathSciNet  Google Scholar 

  7. A. M. Polyakov, Mod. Phys. Lett. A 2, 893 (1987).

    ADS  MathSciNet  Google Scholar 

  8. J. M. Figueroa-O’Farrill, S. Stauciu, and E. Ramos, Phys. Lett. B 297, 289 (1992); C. M. Hull, Phys. Lett. B 269, 257 (1991).

    ADS  MathSciNet  Google Scholar 

  9. V. G. Knizhnik, A. M. Polyakov, and A. B. Zamolodchikov, Mod. Phys. Lett. A 3, 819 (1988).

    ADS  MathSciNet  Google Scholar 

  10. Y. Matsuo, Phys. Lett. A 227, 117 (1991).

    Google Scholar 

  11. R. Zucchini, Phys. Lett. B 260, 296 (1991).

    ADS  MATH  MathSciNet  Google Scholar 

  12. F. Gieres, Preprint CERN 366 (1991).

  13. A. M. Polyakov and A. B. Zamolodchikov, Mod. Phys. Lett. A 3, 819 (1988).

    ADS  MathSciNet  Google Scholar 

  14. D. R. Karakhanyan, Phys. Lett. B 365, 56 (1996).

    ADS  MathSciNet  Google Scholar 

  15. D. R. Karakhanyan, R. P. Manvelyan, and R. L. Mkrtchyan, Phys. Lett. B 329, 185 (1994).

    ADS  Google Scholar 

  16. S. Deser and B. Zumino, Phys. Lett. A 65, 369 (1976).

    MathSciNet  Google Scholar 

  17. K. Schoutens, A. Servin, and P. van Nieuvenhuizen, Nucl. Phys. B 349, 791 (1991).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Erevan Institute of Physics, 375036, Erevan, Republic of Armenia

    D. P. Karakhanyan

Authors
  1. D. P. Karakhanyan
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Additional information

Zh. Éksp. Teor. Fiz. 111, 1537–1553 (May 1997)

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Karakhanyan, D.P. The effective action of W 3-gravity. J. Exp. Theor. Phys. 84, 843–850 (1997). https://doi.org/10.1134/1.558239

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  • DOI: https://doi.org/10.1134/1.558239

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