Aspects of canonical gravity and supergravity

DOI10.1016/0393-0440(93)90047-IzbMath0785.53066OpenAlexW2081075998MaRDI QIDQ687731

H.-J. Matschull, Hermann Nicolai

Publication date: 9 December 1993

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(93)90047-i

zbMATH Keywords

Ashtekar's variables

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Electromagnetic fields in general relativity and gravitational theory (83C50)

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Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle ⋮ Supersymmetric quantum cosmology: a `Socratic' guide ⋮ Spatial geometry of the electric field representation of non-abelian gauge theories. ⋮ Canonical quantum supergravity in three dimensions. ⋮ The canonical formulation of \(E_{6(6)}\) exceptional field theory ⋮ On the vierbein formalism of general relativity ⋮ TOWARDS A CANONICAL GRAVITY IN TWO TIME AND TWO SPACE DIMENSIONS ⋮ Yang-Mills fields and Riemannian geometry ⋮ The \(\mathrm{E}_{10}\) Wheeler-DeWitt operator at low levels ⋮ Canonical analysis of E6(6)(R) invariant five dimensional (super-)gravity

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Einstein's theory in a three-dimensional space-time
• Quantum field theory and the Jones polynomial
• Consistency of the Canonical Reduction of General Relativity
• New variables for canonical supergravity
• Knot invariants as nondegenerate quantum geometries
• Quantum Theory of Gravity. II. The Manifestly Covariant Theory
• On the Analogy Between Classical and Quantum Mechanics
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