MG11 |
Participant |
Macias, Alfredo | |
Institution |
Universidad Autonoma Metropolitana-Iztapalapa - PO. Box 55-534 - Mexico - DF - MEXICO | |
Session |
Talk |
Abstract |
COT5 |
SUPERSIMMETRIC QUANTUM COSOLOGY: MATRIX APPROACH |
In 1987 Mac\'{\i}as, Obreg\'on and Ryan introduced the supersymmetric quantum cosmology approach by applying (N=1) supergravity to quantum minisuperspaces in order to obtain the square root of the Wheeler--DeWitt equation, which governs the evolution of the quantum cosmological models in the standard approach, by means of a matrix representation for the gravitino field. In this talk I will review the further developments of this approach and show that there exist no physical states in the minisuperspace sector of the supersymmetric quantum cosmology. Moreover, I show also that there exist physical states in its midisperspace sector provided that one considers an infinite number of gravitino modes, in acordance with results of Carrol, Freedman, Ort\'{\i}z, and Page. |