Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 104 No. 4 (2000) pp. 835-865

[ Full Text PDF : FREE ACCESS (326K) ]

Supergravity Tensor Calculus in 5D from 6D

Taichiro Kugo*) and Keisuke Ohashi**)

Department of Physics, Kyoto University, Kyoto 606-8502, Japan

(Received June 26, 2000)

Abstract:

Supergravity tensor calculus in five spacetime dimensions is derived by dimensional reduction from the d=6 superconformal tensor calculus. In particular, we obtain an off-shell hypermultiplet in 5D from the on-shell hypermultiplet in 6D. Our tensor calculus retains the dilatation gauge symmetry, so that it is a trivial gauge fixing to make the Einstein term canonical in a general matter-Yang-Mills-supergravity coupled system.


URL : http://ptp.ipap.jp/link?PTP/104/835/
DOI : 10.1143/PTP.104.835


*)E-mail: kugo@gauge.scphys.kyoto-u.ac.jp
**)E-mail: keisuke@gauge.scphys.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (326K) ] Citation:


References:

  1. I. Antoniadis, Phys. Lett. 246B (1990), 377.
    J. D. Lykken, Phys. Rev. D54 (1996), 3693[APS].
    N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. 429B (1998), 263.
    I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. 436B (1998), 257.
  2. I. Antoniadis, C. Muñoz and M. Quirós, Nucl. Phys. B397 (1993), 515[Elsevier].
    I. Antoniadis, S. Dimopoulos, A. Pomarol and M. Quiros, Nucl. Phys. B544 (1999), 503[Elsevier].
  3. E. A. Mirabelli and M. E. Peskin, Phys. Rev. D58 (1998), 065002[APS], hep-th/9712214[e-print arXiv]}.
  4. L. Randall and R. Sundrum, Nucl. Phys. B557 (1999), 79[Elsevier].
    M. A. Luty and R. Sundrum, hep-th/9910202[e-print arXiv]}.
  5. K. R. Dienes, E. Dudas and T. Gherghetta, Phys. Lett. 436B (1998), 55; Nucl. Phys. B537 (1999), 47[Elsevier].
    S. Abel and S. King, Phys. Rev. D59 (1999), 095010[APS].
    N. Arkani-Hamed and S. Dimopoulos, hep-ph/9811353[e-print arXiv]}.
    N. Arkani-Hamed and M. Schmaltz, Phys. Rev. D61 (2000), 033005[APS], hep-ph/9903417[e-print arXiv]}.
    H.-C. Cheng, Phys. Rev. D60 (1999), 075015[APS].
    K. Yoshioka, Mod. Phys. Lett. A15 (2000), 29[Elsevier], hep-ph/9904433[e-print arXiv]}.
  6. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Rev. D59 (1999), 086004[APS].
    M. Maggiore and A. Riotto, Nucl. Phys. B548 (1999), 427[Elsevier].
    N. Kaloper and A. Linde, Phys. Rev. D59 (1999), 101303[APS].
    N. Arkani-Hamed, S. Dimopoulos, N. Kaloper and J. March-Russell, Nucl. Phys. B567 (2000), 189[Elsevier], hep-ph/9903224[e-print arXiv]}; hep-ph/9903239[e-print arXiv]}.
    A. Riotto, Phys. Rev. D61 (2000), 123506[APS], hep-ph/9904485[e-print arXiv]}.
  7. J. Polchinski, String Theory, vol. 1, 2 (Cambridge Univ. Press, Cambridge, 1998).
  8. P. Hořava and E. Witten, Nucl. Phys. B460 (1996), 506[Elsevier], hep-th/9510209[e-print arXiv]}; Nucl. Phys. B475 (1996), 94[Elsevier], hep-th/9603142[e-print arXiv]}.
  9. M. Zucker, Nucl. Phys. B570 (2000), 267[Elsevier], hep-th/9907082[e-print arXiv]}; hep-th/9909144[e-print arXiv]}.
  10. E. Cremmer, S. Ferrara, L. Girardello and A. Van Proeyen, Phys. Lett. 116B (1982), 231; Nucl. Phys. B212 (1983), 413[Elsevier].
  11. E. Bergshoeff, E. Sezgin and A. Van Proeyen, Nucl. Phys. B264 (1986), 653[Elsevier].
  12. T. Kugo and S. Uehara, Nucl. Phys. B222 (1983), 125[Elsevier].
  13. B. de Wit, J. W. van Holten and A. Van Proeyen, Phys. Lett. 95B (1980), 51.
    P. Breitenlohner and M. F. Sohnius, Nucl. Phys. B187 (1981), 409[Elsevier].
  14. E. Cremmer, B. Julia and J. Scherk, Phys. Lett. 76B (1978), 409.
    E. Cremmer and B. Julia, Nucl. Phys. B159 (1979), 141[Elsevier].
  15. M. F. Sohnius, Z. Phys. C18 (1983), 229.
  16. A. Van Proeyen, Lecture in the Proceedings of the Winter School in Karpacz, 1983, ed. B. Milewski (World Scientific Pub. Co.).
  17. B. de Wit, P. G. Lauwers and A. Van Proeyen, Nucl. Phys. B255 (1985), 569[Elsevier].
  18. M. F. Sohnius, Nucl. Phys. B138 (1978), 109[Elsevier].
    A. Galperin, E. Ivanov, S. Kalitzin, V. Ogievetsky and E. Sokatchev, Class. Quant. Grav. 1 (1984), 447.
  19. T. Kugo and K. Ohashi, in preparation.
  20. T. Kugo and S. Uehara, Nucl. Phys. B226 (1983), 49[Elsevier]; Prog. Theor. Phys. 73 (1985), 235[PTP].
  21. B. de Wit, J. W. van Holten and A. Van Proeyen, Nucl. Phys. B167 (1980), 186[Elsevier]; B172 (1980), 543 (E); B184 (1981), 77; B222 (1983), 516 (E).
    M. de Roo, J. W. van Holten, B. de Wit and A. Van Proeyen, Nucl. Phys. B173 (1980), 175[Elsevier].
    E. Bergshoeff, M. de Roo and B. de Wit, Nucl. Phys. B182 (1981), 173[Elsevier].
  22. B. de Wit, R. Philippe and A. Van Proeyen, Nucl. Phys. B219 (1983), 143[Elsevier].
  23. S. Ferrara, L. Girardello, T. Kugo and A. Van Proeyen, Nucl. Phys. B223 (1983), 191[Elsevier].
  24. M. Kaku, P. K. Townsend and P. van Niewenhuizen, Phys. Rev. D17 (1978), 3179[APS].
    M. Kaku and P. K. Townsend, Phys. Lett. 76B (1978), 54.
    M. Kaku, P. K. Townsend and P. van Niewenhuizen, Phys. Rev. D19 (1979), 3166[APS], 3592.
  25. P. van Niewenhuizen, Phys. Rep. 68 (1981), 189.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 105 No. 2 (2001) pp. 323-353 :
    Off-Shell d=5 Supergravity Coupled to a Matter-Yang-Mills System
    Taichiro Kugo and Keisuke Ohashi
  2. Progress of Theoretical Physics Vol. 106 No. 1 (2001) pp. 221-247 :
    Superconformal Tensor Calculus in Five Dimensions
    Tomoyuki Fujita and Keisuke Ohashi
  3. Progress of Theoretical Physics Vol. 106 No. 3 (2001) pp. 671-690 :
    Off-Shell Formulation of Supergravity on an Orbifold
    Tomoyuki Fujita, Taichiro Kugo and Keisuke Ohashi
  4. Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 203-228 :
    Superconformal Tensor Calculus on an Orbifold in 5D
    Taichiro Kugo and Keisuke Ohashi
  5. Progress of Theoretical Physics Vol. 108 No. 6 (2002) pp. 1143-1164 :
    Gauge and Non-Gauge Tensor Multiplets in 5D Conformal Supergravity
    Taichiro Kugo and Keisuke Ohashi
  6. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 533-556 :
    Supersymmetric Completion of an R2 Term in Five-Dimensional Supergravity
    Kentaro Hanaki, Keisuke Ohashi and Yuji Tachikawa