What local supersymmetry can do for quantum cosmology
| dc.creator | D'Eath, P. D. | |
| dc.date | 2005-11-08 | |
| dc.date.accessioned | 2026-07-07T06:49:41Z | |
| dc.date.available | 2026-07-07T06:49:41Z | |
| dc.description | The canonical approach to Riemannian quantum gravity is reviewed with reference to local supersymmetry, to the classical boundary-value problem arising from the Hartle-Hawking quantum state, and particularly for (anti-)self-dual geometries. Two examples of the boundary-value problem for the Einstein equations, possibly with a cosmological constant Λ, are treated, both of Bianchi-IX type. These close smoothly in the interior with a NUT or a BOLT. The Hamiltonian approach to general relativity is described using Ashtekar variables; for non-zero Λand anti-self-dual Weyl tensor, the classical solution corresponds, with the most naive choice of boundary data, to the Chern-Simons functional of the boundary data, the classical action being I_{CS}. Hence, one is led to the corresponding quantum states exp(\pm I_{CS}). Apparently, the classical solutions have the undesirable feature that, in general, the resulting Riemannian classical geometry, arising from the Hamilton-Jacobi equation, does not close smoothly in the interior. The canonical quantum theory of supergravity is also described, and may lead to very streamlined (finite) calculations of loop amplitudes for N=1 supergravity with gauged supermatter. If one uses Ashtekar/Jacobson variables for canonical supergravity, then again (for Λ\neq 0) one arrives at a (supersymmetric) Chern-Simons action and quantum state in the (anti-)self-dual case. | |
| dc.description | Talk given at SWH60 birthday meeting, Cambridge, England, January 2002. Published in "The future of theoretical physics and cosmology", eds. G.W.Gibbons, E.P.S.Shellard and S.J.Rankin (Cambridge Univ. Press, 2003) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0511042 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0511042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104441 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | What local supersymmetry can do for quantum cosmology | |
| dc.type | text |