Super-Poincare' algebras, space-times and supergravities (I)
A. Santi, A. Spiro
TL;DR
This paper introduces a new geometric formulation of supergravity theories based on a generalized principle of covariance, extending previous superspace approaches to encompass super Poincare' algebras.
Contribution
It presents a novel geometric framework for supergravity theories that generalizes existing superspace formulations to include super Poincare' algebra structures.
Findings
Provides a generalized geometric formulation of supergravity
Extends superspace formulation to super Poincare' algebras
Aims for a unified geometric description of supergravities
Abstract
A new formulation of theories of supergravity as theories satisfying a generalized Principle of General Covariance is given. It is a generalization of the superspace formulation of simple 4D-supergravity of Wess and Zumino and it is designed to obtain geometric descriptions for the supergravities that correspond to the super Poincare' algebras of Alekseevsky and Cortes' classification.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Algebraic and Geometric Analysis