The Ashtekar Formalism and WKB Wave Functions of N=1,2 Supergravities

1992/11/24 by Takashi Sano, Sano, Takashi · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9211103

19pages

arxiv created 1992/11/24 · openalex publication_date 1992/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The N=1,2 supergravities with non-zero cosmological constants are investigated in the Ashtekar formalism. We solve the constraints of the N=1,2 supergravities semi-classically. The resulting WKB wave functions are expressed by exponentials of supersymmetric-extended SL(2,C) Chern-Simons functional.

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• A systematic approach to the solution of the constraints of quantum gravity: The full theory
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