Canonical quantization of Bianchi class A models in N=2 supergravity
Nov 7, 199519 pages
Published in:
- Mod.Phys.Lett.A 11 (1996) 227-246
Report number:
- PRINT-95-225 (CAMBRIDGE)
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Abstract: (WSP)
The theory of N=2 supergravity is applied to Bianchi class A models. Their canonical formulation is addressed for two cases: when the O(2) internal symmetry is (a) global or (b) local. A cosmological constant and mass-like term for the gravitinos are required in the latter but are absent in the former. For the case of global O(2) symmetry, it is shown that the presence of a Maxwell field in the supersymmetry constraints is sufficient to imply a non-conservation of the fermionic number. This effect corresponds to a mixing between different Lorentz invariant fermionic sectors in the wave function of the universe. It is similar to what a cosmological constant term would have caused but considerably different from what occurs in FRW and Bianchi models in N=1 supergravity with scalar fields and fermionic partners. The nonconservation effect is interpreted from the point of view of N=2 supergravity theory. For case (b), we obtain the more general solution of the gauge constraint. Possible quantum physical state...- supergravity: superspace
- space-time: Bianchi
- quantization
- symmetry: O(2)
- fermion number: violation
- astrophysics: wave function
- Chern-Simons term
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