English

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

High Energy Physics - Theory 2010-11-01 v1

Abstract

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.)

Keywords

Cite

@article{arxiv.hep-th/9211104,
  title  = {The Non-perturbative Canonical Quantization of the N=1 Supergravity},
  author = {Takashi Sano and Jun'ichi Shiraishi},
  journal= {arXiv preprint arXiv:hep-th/9211104},
  year   = {2010}
}

Comments

20 pages, UT-622