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Prog. Theor. Phys. Vol. 80 No. 6 (1988) pp. 1109-1124

Construction of N=2 Supergravity on Principal Fibre Bundle. II

Kiyotaka Kakazu

Department of Physics, University of the Ryukyus, Okinawa 903-01

(Received July 14, 1988)

Abstract:

Making use of the Weil polynomial and the generalized commutator, we reformulate on shell N=2 supergravity based on OSp(2,4)\supsetSO(1,3). The resulting action becomes a theory with OSp(2,4) \supsetSO(1,3) ×SO(2). Detrivialization terms used in the group manifold approach are derived from the Weil polynomial and the generalized commutator. Also in N=2 Poincaré supergravity we have the same results. Symmetries of underlying groups (for example, rotations and scale transformations) are useful tools for analysing theories.

URL : http://ptp.ipap.jp/link?PTP/80/1109/
DOI : 10.1143/PTP.80.1109

[ Full Text PDF : FREE ACCESS (675K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. Y. Ne'eman and T. Regge, Riv. Nuovo Cim. 1 (1978), No. 5.
   A. D'Adda, R. D'Auria, P. Fré and T. Regge, Riv. Nuovo Cim. 3 (1980), No. 6.
   R. D'Auria, P. Fré and T. Regge, Riv. Nuovo Cim. 3 (1980), No. 12.
   T. Regge, Relativity, groups and topology II (Les Houches 1983), ed. B. S. DeWitt and R. Stora (North-Holland, Amsterdam, 1984), Session XL, Part 3, p. 933.
   L. Castellani, P. Fré and P. van Nieuwenhuizen, Ann. of Phys. 136 (1981), 398[CrossRef].
   L. Castellani, A. Ceresole, S. Ferrara, R. D'Auria, P. Fré and E. Maina, Nucl. Phys. B268 (1986), 317.
2. P. Fré, Nucl. Phys. B179 (1981), 417.
3. P. Fré, Nucl. Phys. B186 (1981), 44.
4. P. van Nieuwenhuizen, Phys. Rev. D24 (1981), 3058[APS].
5. F. Giani, Lett. Nuovo Cim. 33 (1982), 223.
6. R. D'Auria and P. Fré, Nucl. Phys. B201 (1982), 101.
   L. Castellani, P. Fré, F. Giani, K. Pilch and P. van Nieuwenhuizen, Ann. of Phys. 146 (1983), 35[CrossRef].
   R. D'Auria, P. Fré, P. K. Townsend and P. van Nieuwenhuizen, Ann. of Phys. 155 (1984), 423[CrossRef].
7. R. D'Auria, P. Fré, Nucl. Phys. B173 (1980), 456.
   R. D'Auria, E. Maina, T. Regge and P. Fré, Ann. of Phys. 135 (1981), 237[CrossRef].
8. R. D'Auria, P. Fré and T. Regge, Phys. Lett. 128B (1983), 44.
   L. Castellani, Nucl. Phys. B294 (1987), 877.
9. S. Ferrara and P. van Nieuwenhuizen, Phys. Rev. Lett. 3 (1976), 1669[APS].
   D. Z. Freedman and A. Das, Nucl. Phys. B120 (1977), 221.
   P. K. Townsend and P. van Nieuwenhuizen, Phys. Lett. 67B (1977), 439.
10. K. Kakazu and S. Matsumoto, Prog. Theor. Phys. 78 (1987), 932[PTP].
11. K. Kakazu and S. Matsumoto, Prog. Theor. Phys. 79 (1988), 1431[PTP].
12. B. S. DeWitt, Supermanifolds (Cambridge Univ. Press, London, 1984).
13. S. Kobayashi, and K. Nomizu, Foundations of Differential Geometry (Wiley-Interscience, New York, 1963), vol. 1.
14. Encyclopedic Dictionary of Mathematics, ed. S. Iyanaga and Y. Kawada (MIT Press, 1986), vol. 1, p. 305.
    N. Tanaka, Jpn. J. Math. 2 (1976), 131.
15. T. Eguchi, P. B. Gilkey and A. J. Hanson, Phys. Rep. 66 (1980), 213[CrossRef].
16. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley-Interscience, New York, 1969), vol. 2
17. D. Bleecker, Gauge Theory and Variational Principles (Addison-Wesley, 1981).
18. K. Kakazu and S. Matsumoto, Prog. Theor. Phys. 78 (1987), 166[PTP].
19. J. W. van Holten and A. Van Proeyen, J. of Phys. A15 (1982), 3763[IoP STACKS].
20. E. Cremmer, B. Julia and J. Scherk, Phys. Lett. 76B (1978), 409.
    E. Cremmer and B. Julia, Nucl. Phys. B159 (1979), 141.
    H. Nicolai, P. K. Townsend and P. van Nieuwenhuizen, Lett. Nuovo Cim. 30 (1981), 315.

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