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Exact quantum states for the diagonal Bianchi type IX model with negative cosmological constant
Robert Paternoga, Robert Graham
Quantum states of the diagonal Bianchi type IX model with negative cosmological constant are obtained by transforming the Chern-Simons solution in Ashtekar's variables to the m…
Physical states of Bianchi type IX quantum cosmologies described by the Chern-Simons functional
Robert Graham, Robert Paternoga
A class of exact solutions of the Wheeler-DeWitt equation for diagonal Bianchi type IX cosmologies with cosmological constant is derived in the metric representation. This class co…
Exact quantum state for N=1 supergravity
Andras Csordas, Robert Graham
For N=1 supergravity in 3+1 dimensions we determine the graded algebra of the quantized Lorentz generators, supersymmetry generators, and diffeo-morphism and Hamiltonian generators…
Quantum states on supersymmetric minisuperspace with a cosmological constant
Robert Graham, Andras Csordas
Spatially homogeneous models in quantum supergravity with a nonvanishing cosmological constant are studied. A class of exact nontrivial solutions of the supersymmetry and Lorentz c…
Supersymmetric minisuperspace with non-vanishing fermion number
Andras Csordas, Robert Graham
The Lagrangean of supergravity is dimensionally reduced to one (time-like) dimension assuming spatial homogeneity of any Bianchi type within class A of the classification of…
The Hartle-Hawking state for the Bianchi IX model in supergravity
R. Graham, H. Luckock
We solve the quantum constraints for homogeneous N=1 supergravity on 3-geometries with a Bianchi IX metric. Because these geometries admit Killing vectors with the same commutation…