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

Prog. Theor. Phys. Vol. 80 No. 1 (1988) pp. 1-6

[ Full Text PDF : FREE ACCESS (270K) ]

Letters

Superparticles and Division Algebras

— Six Dimensions and Quaternions —

Tadahiko Kimura and Ichiro Oda

Department of Physics, Chiba University, Chiba 260

(Received April 4, 1988)

Abstract:

We formulate the Brink-Schwarz superparticle in the six-dimensional space-time in the Sl(2, H) formalism. The most general solution of the classical equations of motion with four arbitrary local fermionic parameters corresponding to the local fermionic gauge invariance is obtained.


URL : http://ptp.ipap.jp/link?PTP/80/1/
DOI : 10.1143/PTP.80.1

[ Full Text PDF : FREE ACCESS (270K) ] Citation:


References:

  1. M. B. Green and J. H. Schwarz, Phys. Lett. 136B (1981), 367.
  2. M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory (Cambridge University Press,1987).
  3. W. Siegel, Phys. Lett. 128B (1983), 397.
    W. Siegel, Nucl. Phys. B263 (1985), 93.
  4. I. Bengtsson and M. Cederwall, Goteborg Report No. 84-21 (1984).
    M. B. Green and J. H. Schwarz, Nucl. Phys. B243 (1984), 285.
    T. Hori and K. Kamimura, Prog. Theor. Phys. 73 (1985), 476[PTP].
    R. E. Kallosh, Phys. Lett. 195B (1987), 369.
  5. T. Kugo and P. Townsend, Nucl. Phys. B221 (1983), 357.
  6. A. Sudbery, J. of Phys. A17 (1984), 939[IoP STACKS].
    K. W. Chung and A. Sudbery, Phys. Lett. 198B (1987), 161.
  7. L. Brink and J. H. Schwarz, Phys. Lett. 100B (1981), 310.
  8. T. Shirafuji, Prog. Theor. Phys. 70 (1983), 18[PTP].
  9. I. Bengtsson, Class. Quant. Grav. 4 (1987), 1143[CrossRef].
  10. L.Brink, J. H. Schwarz and J. Scherk, Nucl. Phys. B121 (1977), 77.
  11. W. T. Shaw, Class. Quant. Grav. 2 (1985), L113[CrossRef]; ibid. 3 (1986), 753[CrossRef]; ibid. 4 (1987), 869[CrossRef]; ibid. 4 (1987), 1193[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 367-372 :
    Superparticles and Division Algebras
    Ichiro Oda, Tadahiko Kimura and Atsushi Nakamura
  2. Progress of Theoretical Physics Vol. 82 No. 5 (1989) pp. 879-896 :
    The q-Phase Transition and Critical Scaling Laws near the Band-Crisis Point of Chaotic Attractors
    Takeshi Yoshida, Syuji Miyazaki, Hazime Mori, Tatsuharu Kobayashi, Takehiko Horita and Hiroki Hata