Showing papers on "Anti-de Sitter space published in 1977"
CERN1
TL;DR: In this article, the non-linear transformation law and the nonlinear Lagrangian for a Goldstone spinor corresponding to spontaneous breaking of global supersymmetry in a de Sitter space with O(3,2) invariance were derived.
127 citations
TL;DR: In this article, general features of extended supergravity with a gauge internal symmetry are discussed from a group-theoretical point of view, where the authors consider the problem of group symmetry.
25 citations
TL;DR: The theory of quantised fields in de Sitter space is investigated in this paper, where it is shown that quantized fields transform like Minkowskian fields under a subgroup of the conformal group, under horospherical coordinates.
Abstract: The theory of quantised fields in de Sitter space is investigated. It is demonstrated that de Sitter invariant fields transform like Minkowskian fields under a subgroup of the conformal group, if the de Sitter space is parametrised by horospherical coordinates. Special attention is thus focused on the resolution of the apparent causality conflict. For fields of spin less than or equal to one the field equations are derived; the case of arbitrary spin is dealt with by means of Weinberg-type fields. Furthermore, the author gives an improved version of the renormalisability proof for the model of a quantised scalar particle in the classical de Sitter background field.
22 citations
TL;DR: In this article, a generalized Dirac's De Sitter covariant spinning electron equation is generalized to the presence of gravitational fields, and the resulting equation differs from the generally covariant Dirac equation by a mass renormalization, which gives a wider outlook on the significance of this result from the point of view of gauge theory.
Abstract: A gravitational law is proposed on a De Sitter covariant space. Dirac's De Sitter covariant spinning electron equation is generalized to the presence of gravitational fields. The resulting equation differs from the generally covariant Dirac equation by a mass renormalization. The last result is a generalization of that of Gursey and Lee [2] in case of the homogenous De Sitter metric, and it gives a wider outlook on the significance of this result from the point of view of gauge theory.
14 citations
TL;DR: In this paper, the relation of conformal symmetry to the existence of zero energymomentum (improved) solutions is investigated in four-dimensional space for a class of Lagrangian models.
Abstract: The relation of conformal symmetry to the existence of zero energy-momentum (improved) solutions is investigated in four-dimensional space for a class of Lagrangian models. It is pointed out that in Minkowski space such solutions are either constant (or trivial) or the theory is conformally invariant. In Euclidean space such solutions may be constructed if solutions to the conformally invariant theories are known.
7 citations
TL;DR: In this paper, a quantum action principle based solely on rotational invariance in five-dimensional space is devised, and the resulting commutation relations correspond to the correct ones in curved four-space.
4 citations
TL;DR: Anisotropic solutions of the vacuum Einstein equations with a cosmological term were considered in this article, and these metrics approach the de Sitter form for large values of the time.
1 citations