Twistors and Spin 3/2 Potentials in Quantum Gravity
| dc.creator | Esposito, Giampiero | |
| dc.creator | Pollifrone, Giuseppe | |
| dc.date | 1995-06-27 | |
| dc.date.accessioned | 2026-07-07T03:30:43Z | |
| dc.date.available | 2026-07-07T03:30:43Z | |
| dc.description | Local boundary conditions involving field strengths and the normal to the boundary, originally studied in anti-de Sitter space-time, have been recently considered in one-loop quantum cosmology. This paper derives the conditions under which spin-lowering and spin-raising operators preserve these local boundary conditions on a 3-sphere for fields of spin 0,1/2,1,3/2 and 2. Moreover, the two-component spinor analysis of the four potentials of the totally symmetric and independent field strengths for spin 3/2 is applied to the case of a 3-sphere boundary. It is shown that such boundary conditions can only be imposed in a flat Euclidean background, for which the gauge freedom in the choice of the potentials remains. Alternative boundary conditions for supergravity involving the spinor-valued 1-forms for gravitinos and the normal to the boundary are also studied. | |
| dc.description | 20 pages, plain-tex, recently appearing in: Twistor Theory, edited by Stephen Huggett (Marcel Dekker, New York, 1994). The authors apologize for the delay in circulating the paper, which was due to technical problems now fixed | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9506058 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9506058 | |
| dc.identifier | Lect.Notes Pure Appl.Math. 169 (1995) 35-54 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35617 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Twistors and Spin 3/2 Potentials in Quantum Gravity | |
| dc.type | text |