Supersymmetric Bianchi models and the square root of the Wheeler-DeWitt equation

Physics

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Scientific paper

By solving the full set of quantum constraint equations for the Bianchi-I mini-superspace model in supergravity, it is found that the wave-function depends only on two arbitrary constants. General solutions to the Wheeler-DeWitt equation or to a corresponding Dirac square root equation are not permitted. Possible extensions of this work to Bianchi IX and other Bianchi types are discussed.

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