Spin-Raising Operators and Spin-3/2 Potentials in Quantum Cosmology

Details Spin-Raising Operators and Spin-3/2 Potentials in Quantum Cosmology Spin-Raising Operators and Spin-3/2 Potentials in Quantum Cosmology

1995-06-27

arxiv.org/abs/gr-qc/9506056v1

Class.Quant.Grav.11:897-904,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, plain-tex, recently appearing in Classical and Quantum Gravity, volume 11, April 1994, pages 897-903. Apologies for

Scientific paper

10.1088/0264-9381/11/4/009

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-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.

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