Physics – Nuclear Physics
Scientific paper
Jul 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992nuphb.378..381d&link_type=abstract
Nuclear Physics B, Volume 378, Issue 1-2, p. 381-409.
Physics
Nuclear Physics
33
Scientific paper
Mini-superspace quantum cosmological models possessing one-dimensional local supersymmetry can be found by reducing four-dimensional models with N = 1 supergravity coupled to supermatter, assuming that the geometry is that of a Friedman model with S3 spatial sections, and that the other fields are homogeneous on the family of three-spheres. For pure N = 1 supergravity, a suitable restrictive ansatz is found for the gravitational and spin-3/2 fields, such that the resulting one-dimensional model has local supersymmetry. When the model is quantised, the supersymmetry constraints become first-order differential operators which annihilate the wave function ψ, and which imply a suitable Wheeler-DeWitt equation for ψ. Models with more interesting physical content are found by studying N = 1 supergravity coupled to locally supersymmetric matter, here taken to be a massive complex scalar with spin-1/2 partner. In this case the coupled first-order equations, relating the components of the wave function in the different fermionic sectors, are again derived from the supersymmetry constraints; these lead to different Wheeler-De Witt equations in the different sector.
D'Eath Peter D.
Hughes I. D.
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