Skip to main content
SpringerLink
Log in

Reduced models and noncommutative gauge theories

  • Scientific Summaries
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

A brief review of the relation between reduced models and noncommutative Yang-Mills (NCYM) theory is given. The twisted Eguchi-Kawai model, the mapping onto NCYM, the Morita equivalence, the fundamental matter, the Wilson loops in NCYM, and the D-brane interpretation are considered.

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.

Similar content being viewed by others

References

  1. A. Connes, M. R. Douglas, and A. Schwarz, JHEP 9802, 003 (1998); hep-th/9711162.

    ADS  MathSciNet  Google Scholar 

  2. T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997); hep-th/9610043.

    Article  ADS  MathSciNet  Google Scholar 

  3. N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. B 498, 467 (1997); hep-th/9612115.

    Article  ADS  MathSciNet  Google Scholar 

  4. K. L. Zarembo and Yu. M. Makeenko, Usp. Fiz. Nauk 168(1), 3 (1998) [Phys. Usp. 41, 1 (1998)].

    Google Scholar 

  5. T. Eguchi and H. Kawai, Phys. Rev. Lett. 48, 1063 (1982).

    Article  ADS  Google Scholar 

  6. G. Bhanot, U. M. Heller, and H. Neuberger, Phys. Lett. B 113B, 47 (1982).

    ADS  Google Scholar 

  7. A. González-Arroyo and M. Okawa, Phys. Lett. B 120B, 174 (1983).

    ADS  Google Scholar 

  8. T. Eguchi and R. Nakayama, Phys. Lett. B 122B, 59 (1983).

    ADS  MathSciNet  Google Scholar 

  9. A. González-Arroyo and M. Okawa, Phys. Rev. D 27, 2397 (1983).

    ADS  Google Scholar 

  10. A. González-Arroyo and C. P. Korthals Altes, Phys. Lett. B 131B, 396 (1983).

    ADS  Google Scholar 

  11. H. Aoki, N. Ishibashi, S. Iso, et al., Nucl. Phys. B 565, 176 (2000); hep-th/9908141.

    Article  ADS  MathSciNet  Google Scholar 

  12. N. Ishibashi, S. Iso, H. Kawai, and Y. Kitazawa, Nucl. Phys. B 573, 573 (2000); hep-th/9910004.

    Article  ADS  MathSciNet  Google Scholar 

  13. I. Bars and D. Minic, hep-th/9910091.

  14. J. Ambjørn, Y. M. Makeenko, J. Nishimura, and R. J. Szabo, JHEP 9911, 029 (1999); hep-th/9911041.

  15. J. Ambjørn, Y. M. Makeenko, J. Nishimura, and R. J. Szabo, Phys. Lett. B 480B, 399 (2000); hep-th/0002158.

    ADS  Google Scholar 

  16. J. Ambjørn, Y. M. Makeenko, J. Nishimura, and R. J. Szabo, JHEP 0005, 023 (2000); hep-th/0004147.

  17. A. Schwarz, Nucl. Phys. B 534, 720 (1998); hep-th/9805034.

    Article  ADS  MATH  Google Scholar 

  18. G. ’t Hooft, Nucl. Phys. B 153, 141 (1979).

    ADS  MathSciNet  Google Scholar 

  19. S. R. Das, Phys. Lett. B 132B, 155 (1983).

    ADS  Google Scholar 

  20. Yu. M. Makeenko, Usp. Fiz. Nauk 143, 161 (1984) [Sov. Phys. Usp. 27, 401 (1984)].

    Google Scholar 

  21. S. Minwalla, M. Van Raamsdonk, and N. Seiberg, hep-th/9912072.

  22. A. S. Gorsky and Y. M. Makeenko, unpublished.

  23. R.-G. Cai and N. Ohta, JHEP 0003, 009 (2000); hep-th/0001213.

  24. N. Seiberg and E. Witten, JHEP 9909, 032 (1999); hep-th/9908142.

  25. N. Nekrasov and A. Schwarz, Commun. Math. Phys. 198, 689 (1998); hep-th/9802068.

    Article  ADS  MathSciNet  Google Scholar 

  26. R. Gopakumar, S. Minwalla, and A. Strominger, JHEP 0005, 020 (2000); hep-th/0003160.

  27. D. J. Gross and N. A. Nekrasov, hep-th/0005204.

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, Bol’shaya Cheremushkinskaya ul. 25, Moscow, 117259, Russia

    Yu. M. Makeenko

Authors
  1. Yu. M. Makeenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 7, 2000, pp. 566–576.

Original Russian Text Copyright © 2000 by Makeenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Makeenko, Y.M. Reduced models and noncommutative gauge theories. Jetp Lett. 72, 393–399 (2000). https://doi.org/10.1134/1.1331153

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1331153

PACS numbers

Search

Navigation