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Journal ArticleDOI

Unified geometric theory of gravity and supergravity

S. W. MacDowell, +1 more
- 04 Apr 1977 - 
- Vol. 38, Iss: 14, pp 739-742
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TLDR
In this article, a unified geometric formulation of gravitation and supergravity is presented, which is constructed out of the components of the curvature tensor for bundle spaces with four-dimensional Lorentz base manifold and structure groups Sp(4) for gravity and OSp(1, 4) for supergravity.
Abstract
A unified geometric formulation of gravitation and supergravity is presented. The action for these theories is constructed out of the components of the curvature tensor for bundle spaces with four-dimensional Lorentz base manifold and structure groups Sp(4) for gravity and OSp(1,4) for supergravity. The requirement of invariance under reflections, local Lorentz transformations, and general coordinate transformations uniquely determines the action and ensures the existence of local supersymmetry in supergravity.

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Journal ArticleDOI

An Abstract Interface to Higher Spin Gauge Field Theory

TL;DR: In this article, a comprehensive approach to the theory of higher spin gauge fields is proposed, which is based on a survey of the progress that has been achieved since relativistic wave equations for higher spin fields were first considered in the nineteen thirties.
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Kähler gauge dependence of generalized non-linear σ-model with local complex supersymmetry in 1 + 1 dimensions

TL;DR: In this paper, the 1 + 1 dimensional analogue of the quantizaton procedure of the gravitational constant by Witten and Bagger in a generalized non-linear σ-model is studied.
Journal ArticleDOI

Induced gravity from gauge theories

TL;DR: In this paper, the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level was discussed, and an analogy with quantum chromodynamics was also formulated.
Journal ArticleDOI

Osp(1|8)-gravity

TL;DR: In this paper, a new MacDowell-Mansouri R 2 -type supergravity action based on the superalgebra Osp (1|8) was analyzed.
Journal ArticleDOI

Time and dark matter from the conformal symmetries of Euclidean space

TL;DR: In this paper, the conformal group of Euclidean four-space by its Weyl subgroup results in a geometry possessing many of the properties of relativistic phase space, including a natural symplectic form and non-degenerate Killing metric.
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