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Effective actions of the IIB matrix model on S3

Hiromichi Kaneko1,*, Yoshihisa Kitazawa1,2,†, and Koichiro Matsumoto2,‡

  • 1High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
  • 2Department of Particle and Nuclear Physics, The Graduate University for Advanced Studies (SOKENDAI), Tsukuba, Ibaraki 305-0801, Japan

  • *kanekoh@post.kek.jp
  • †kitazawa@post.kek.jp
  • ‡kmatsumo@post.kek.jp
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Phys. Rev. D 76, 084024 – Published 19 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.084024

Abstract

S3 is a simple principle bundle which is locally S2×S1. It has been shown that such a space can be constructed in terms of matrix models. It has also been shown that such a space can be realized by a generalized compactification procedure in the S1 direction. We investigate the effective action of supersymmetric gauge theory on S3 with an angular momentum cutoff and that of a matrix model compactification. Both cases can be realized in a deformed IIB matrix model with a Myers term. We find that the highly divergent contributions at the tree and 1-loop level are sensitive to the UV cutoff. However, the 2-loop level contributions are universal since they are only logarithmically divergent. We expect that the higher loop contributions are insensitive to the UV cutoff since 3-dimensional gauge theory is superrenormalizable.

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References (23)

  1. T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997).
  2. N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. B498, 467 (1997).
  3. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, A. Tsuchiya, and T. Tada, Prog. Theor. Phys. Suppl. 134, 47 (1999).
  4. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, and T. Tada, Prog. Theor. Phys. 99, 713 (1998).
  5. J. Nishimura and G. Vernizzi, J. High Energy Phys. 04 (2000) 015.
  6. K. N. Anagnostopoulos and J. Nishimura, Phys. Rev. D 66, 106008 (2002).
  7. J. Nishimura and F. Sugino, J. High Energy Phys. 05 (2002) 001.
  8. H. Kawai, S. Kawamoto, T. Kuroki, T. Matsuo, and S. Shinohara, Nucl. Phys. B647, 153 (2002).
  9. H. Kawai, S. Kawamoto, T. Kuroki, T. Matsuo, and S. Shinohara, Prog. Theor. Phys. 109, 115 (2003).
  10. Y. Kitazawa, Nucl. Phys. B642, 210 (2002).
  11. T. Imai, Y. Kitazawa, Y. Takayama, and D. Tomino, Nucl. Phys. B665, 520 (2003).
  12. T. Imai, Y. Kitazawa, Y. Takayama, and D. Tomino, Nucl. Phys. B679, 143 (2004).
  13. T. Imai and Y. Takayama, Nucl. Phys. B686, 248 (2004).
  14. H. Kaneko, Y. Kitazawa, and D. Tomino, Phys. Rev. D 73, 066001 (2006).
  15. H. Kaneko, Y. Kitazawa, and D. Tomino, Nucl. Phys. B725, 93 (2005).
  16. M. Hanada, H. Kawai, and Y. Kimura, Prog. Theor. Phys. 114, 1295 (2005).
  17. G. Ishiki, S. Shimasaki, Y. Takayama, and A. Tsuchiya, J. High Energy Phys. 11 (2006) 089.
  18. L. C. Biedenharn, J. Math. Phys. (N.Y.) 2, 433 (1961).
  19. M. A. B. Beg and H. Ruegg, J. Math. Phys. (N.Y.) 6, 677 (1965).
  20. R. E. Cutkosky, J. Math. Phys. (N.Y.) 25, 939 (1984).
  21. D. Sen, J. Math. Phys. (N.Y.) 27, 472 (1986).
  22. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1960), 2nd ed.
  23. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).

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Phys. Rev. D 76, 084024– Published 19 October, 2007
  • Received 4 July 2007

© 2007 American Physical Society

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