Twistors and Spin 3/2 Potentials in Quantum Gravity
摘要
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.
引用
@article{arxiv.gr-qc/9506058,
title = {Twistors and Spin 3/2 Potentials in Quantum Gravity},
author = {Giampiero Esposito and Giuseppe Pollifrone},
journal= {arXiv preprint arXiv:gr-qc/9506058},
year = {2007}
}
备注
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