The Non-perturbative Canonical Quantization of the N=1 Supergravity

Details The Non-perturbative Canonical Quantization of the N=1 Supergravity The Non-perturbative Canonical Quantization of the N=1 Supergravity

1992-11-24

arxiv.org/abs/hep-th/9211104v1

Nucl.Phys.B410:423-450,1993

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, UT-622

Scientific paper

10.1016/0550-3213(93)90442-R

The non-perturbative canonical quantization of the N=1 supergravity with the non-zero cosmological constant is studied using the Ashtekar formalism. A semi-classical wave function is obtained and it has the form of the exponential of the N=1 supersymmetric extension of the Chern-Simons functional. The N=1 supergravity in the Robertson-Walker universe is also examined and some analytic solutions are obtained. (We omit all graphs in the following LaTex file.)

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