HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 68 (1982) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 68 No. 3 (1982) pp. 975-988

[ Full Text PDF : FREE ACCESS (568K) ]

Local Tensor Calculus in Supergravity with Propagating Lorentz Connexion

Hitoshi Nishino

Institute of Physics, University of Tokyo, Komaba, Tokyo 153

(Received April 26, 1982)

Abstract:

We set up a local tensor calculus in our supergravity theory with propagating Lorentz connexion ωµrs. A local supersymmetry transformation rule for a scalar multiplet, a D-type Lagrangian, and a correspondence rule between a scalar multiplet and a scalar curvature multiplet are derived up to the first correction terms required by local supersymmetry. These are preliminary procedures of the consistency check of couplings of ωµrs to other spinor fields.


URL : http://ptp.ipap.jp/link?PTP/68/975/
DOI : 10.1143/PTP.68.975

[ Full Text PDF : FREE ACCESS (568K) ] Citation:

References:

  1. H. Nishino, Tokyo Univ. Preprint UT-Komaba 80-18.
    H. Nishino, Prog. Theor. Phys. 66 (1981), 287[PTP].
  2. D. Z. Freedman, P. van Nieuwenhuizen and S. Ferrara, Phys. Rev. D 13 (1976), 3214[APS].
  3. S. Deser and B. Zumino, Phys. Lett. B 62 (1976), 335[CrossRef].
  4. K. S. Stelle and P. C. West, Phys. Lett. B 74 (1978), 330[CrossRef]; ibid. 77 (1978), 376[CrossRef].
    S. Ferrara and P. van Nieuwenhuizen, Phys. Lett. B 74 (1978), 333[CrossRef]; ibid. 76 (1978), 404[CrossRef].
  5. J. Wess and B. Zumino, Phys. Lett. B 79 (1978), 394[CrossRef].
    W. Siegel and S. J. Gates Jr., Nucl. Phys. B 147 (1979), 77, [CrossRef]and references contained therein.
  6. S. Ferrara, F. Gliozzi and J. Scherk and P. van Nieuwenhuizen, Nucl. Phys. B 117 (1976), 333[CrossRef].
    S. Ferrara, M. T. Grisaru and P. van Nieuwenhuizen, Nucl. Phys. B 138 (1978), 430[CrossRef].
  7. P. Breitenlohner, Phys. Lett. B 67 (1977), 49[CrossRef]; Nucl. Phys. B 124 (1977), 500[CrossRef].
  8. L. Brink, M. Gell-Mann, P. Ramond and J. H. Schwarz, Phys. Lett. B 74 (1978), 336[CrossRef]; Nucl. Phys. B 145 (1978), 93[CrossRef].
  9. E. Cremmer and B. Julia, Phys. Lett. B 80 (1978), 48[CrossRef]; Nucl. Phys. B 159 (1979), 141, [CrossRef]and references contained therein.
  10. M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Phys. Rev. D 17 (1978), 3179[APS].
    P. K. Townsend and P. van Nieuwenhuizen, Phys. Rev. D 19 (1979), 3166[APS].
  11. B. de Wit and M. T. Grisaru, Phys. Lett. B 74 (1978), 57[CrossRef].
  12. P. van Nieuwenhuizen, Phys. Rep. 68 (1981), 189, [CrossRef]and references contained therein.
  13. H. Weyl, Z. Phys. 56 (1929), 330.
    V. Fock and D. Ivanenko, Compt. Rend 189 (1929), 25.
    H. Wely, Phys. Rev. 77 (1950), 699[APS].
    R. Utiyama, Phys. Rev. 101 (1956), 1597[APS].
    D. W. Sciama, in Recent Developments in General Relativity (Pergamon, New York, 1962), p.415.
    T. W. B. Kibble, J. Math. Phys. 2 (1961), 212[CrossRef].
    J. Schwinger, Phys. Rev. 130 (1963), 1253[APS].
    A. Trautman, Rep. Math. Phys. 1 (1970), 29.
    Y. M. Cho, Phys. Rev. D 14 (1976), 2521[APS].
    M. Carmeli, Gen. Relat. Gravit. 5 (1974), 287.
  14. K. Hayashi and A. Bregman, Ann. of Phys. 75 (1973), 562[CrossRef].
  15. F. W. Hehl, P. von der Heyde, G. D. Kerlick and J. M. Nester, Rev. Mod. Phys. 48 (1976), 393[APS].
    A. Trautman, Symp. Math. 12 (1973), 139, and references contained therein.
  16. D. E. Neville, Phys. Rev. D 18 (1978), 3535[APS]; ibid. 21 (1980), 867[APS]; ibid. 23 (1981), 1244[APS].
  17. Y. Ne'eman and T. Regge, Riv. Nuovo Cim. 1 (1978), N5.
  18. W. Thirring, Acta Phys. Austr. Suppl. 19 (1978), 439; Lecture Notes in Phys. 116 (1980), 276.
  19. E. Sezgin and P. van Nieuwenhuizen, Phys. Rev. D 21 (1980), 3269[APS].
  20. F. G. Basombrio, Gen. Relat. Gravit. 12 (1980), 109; Nuovo Cim. B 57 (1980), 269.
  21. F. W. Hehl, Y. Ne'eman, J. Nitsch and P. von der Heyde, Phys. Lett. B 78 (1978), 102[CrossRef].
  22. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 866[PTP]; ibid. 64 (1980), 883[PTP]; ibid. 64 (1980), 1435[PTP]; ibid. 64 (1980), 2222[PTP]; ibid. 65 (1981), 525[PTP]; ibid. 66 (1981), 318[PTP].
  23. See for example, S. Ferrara and P. Fayet, Phys. Rep. 32 (1977), 249[CrossRef].
    A. Salam and J. Strathdee, Forts. der Phys. 26 (1978), 57.
  24. R. Haag, J. T. Łopuszański and M. Sohnius, Nucl. Phys. B 88 (1975), 257[CrossRef].
    M. T. Grisaru, H. N. Pendleton and P. van Nieuwenhuizen, Phys. Rev. D 15 (1977), 996[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1765-1775 :
    Consistency of Couplings in Supergravity Theory with Propagating Lorentz Connexion
    Hitoshi Nishino
  2. Progress of Theoretical Physics Vol. 82 No. 3 (1989) pp. 616-630 :
    A Supersymmertic Lagrangian for Poincaré Gauge Theories of Gravity
    Carlos Castro

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.