1993/11/04 by Robert Graham, R. Graham, Hugh Luckock +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1103/physrevd.49.r4981
published as Phys.Rev.D49:4981-4984,1994 · 9 pages, University of Sydney Mathematics Report 93-50
arxiv created 1993/11/04 · openalex publication_date 1994/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We solve the quantum constraints for homogeneous N=1 supergravity on spatial three-geometries with a Bianchi type IX metric. Because these geometries admit Killing vectors with the same commutation relations as the angular momentum generators, there are two distinct definitions of homogeneity. The first of these is well known and has been shown by D'Eath to give the wormhole state. We show that the alternative definition of homogeneity leads to the Hartle-Hawking "no boundary" state.