The Nonperturbative canonical quantization of the N=1 supergravity

Nov, 1992
31 pages
Published in:
  • Nucl.Phys.B 410 (1993) 423-450
e-Print:
Report number:
  • UT-622

Citations per year

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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.)
  • supergravity
  • quantization
  • Hamiltonian formalism
  • space-time
  • wave function
  • approximation: semiclassical
  • numerical calculations