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Anisotropic diagonal Bianchi type-IX minisuperspace with N=4 supersymmetry
Phys. Rev. D 48, 1602 – Published 15 August, 1993
DOI: https://doi.org/10.1103/PhysRevD.48.1602
Abstract
Spatially homogeneous anisotropic diagonal Bianchi type-IX cosmological models are extended to N=4 supersymmetry arising naturally from N=1 supergravity by dimensional reduction. The solutions of the quantized angular momentum and supersymmetry constraints in the empty and filled fermion sectors are given, and it is shown that these solutions are the only ones proving a very recent conjecture by D’Eath, Hawking, and Obregón.
References (15)
- C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Chap. 44.
- J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983); S. W. Hawking, Nucl. Phys. B239, 257 (1984).
- C. W. Misner, in Magic without Magic, edited by J. R. Klauder (Freeman, San Francisco, 1972).
- A. S. Goncharov and A. D. Linde, Phys. Lett. 139B, 27 (1984).
- A. Macias, O. Obregón and M. P. Ryan, Jr., ., Class. Quantum Grav. 4, 1477 (1987).
- P. D'Eath and D. I. Hughes, Phys. Lett. B 214, 498 (1988); Nucl. Phys. B378, 381 (1992).
- J. Socorro, O. Obregón and A. Macias, Phys. Rev. D 45, 2026 (1992); O. Obregón, J. Socorro and J. Benitez, ibid. 47, 4471 (1993).
- P. D'Eath, S. W. Hawking and O. Obregón, Phys. Lett. B 300, 44 (1993).
- R. Graham, Phys. Rev. Lett. 67, 1381 (1991).
- R. Graham, Phys. Lett. B 277, 393 (1992); J. Bene and R. Graham, in Quantum Physics and the Universe, edited by M. Namiki (World Scientific, Singapore, 1993).
- R. Graham and J. Bene, Phys. Lett. B 302, 183 (1993).
- J. Bene and R. Graham (unpublished).
- M. P. Ryan, Jr., Hamiltonian Cosmology (Springer, Berlin, 1972).
- J. Wess and B. Zumino, Nucl. Phys. B70, 39 (1974).
- V. Moncrief and M. P. Ryan, Phys. Rev. D 44, 2375 (1991).