Twistors in Conformally Flat Einstein Four-Manifolds
摘要
This paper studies the two-component spinor form of massive spin-3/2 potentials in conformally flat Einstein four-manifolds. Following earlier work in the literature, a non-vanishing cosmological constant makes it necessary to introduce a supercovariant derivative operator. The analysis of supergauge transformations of primary and secondary potentials for spin 3/2 shows that the gauge freedom for massive spin-3/2 potentials is generated by solutions of the supertwistor equations. The supercovariant form of a partial connection on a non-linear bundle is then obtained, and the basic equation of massive secondary potentials is shown to be the integrability condition on super beta-surfaces of a differential operator on a vector bundle of rank three. Moreover, in the presence of boundaries, a simple algebraic relation among some spinor fields is found to ensure the gauge invariance of locally supersymmetric boundary conditions relevant for quantum cosmology and supergravity.
引用
@article{arxiv.gr-qc/9507015,
title = {Twistors in Conformally Flat Einstein Four-Manifolds},
author = {Giampiero Esposito and Giuseppe Pollifrone},
journal= {arXiv preprint arXiv:gr-qc/9507015},
year = {2009}
}
备注
22 pages, plain-tex