Spin-Raising Operators and Spin-3/2 Potentials in Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.gr-qc/9506056,
title = {Spin-Raising Operators and Spin-3/2 Potentials in Quantum Cosmology},
author = {Giampiero Esposito and Giuseppe Pollifrone},
journal= {arXiv preprint arXiv:gr-qc/9506056},
year = {2010}
}
Comments
13 pages, plain-tex, recently appearing in Classical and Quantum Gravity, volume 11, April 1994, pages 897-903. Apologies for the delay in circulating the file, due to technical problems now fixed