Quantization of the Bianchi type-IX model in supergravity

Details Quantization of the Bianchi type-IX model in supergravity Quantization of the Bianchi type-IX model in supergravity

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48..713d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 2, 15 July 1993, pp.713-718

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33

Supergravity

Scientific paper

Diagonal Bianchi type-IX models are studied in quantum supergravity. The quantum constraints imply that a physical wave function has only two components: one proportional to exp(-I) and the other to exp(I), for a certain action functional I. General solutions to the Wheeler-DeWitt equation or to a corresponding Dirac square-root equation are not permitted. It is shown that exp(-I) gives the wormhole ground state. However, most strangely, there is no Hartle-Hawking state among the solutions.

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