Journal ArticleDOI
Unified geometric theory of gravity and supergravity
S. W. MacDowell,F. Mansouri +1 more
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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.read more
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4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects
TL;DR: In this article, a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module has been studied, and the 4d CS action is fully gauge invariant if the underlying base 4fold has no boundary.
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Symmetries of first-order Lovelock gravity
TL;DR: In this article, the converse of Noether's second theorem was applied to the first-order Lovelock Lagrangian, and the invariance of the Lagrangians was obtained for odd-and even-dimensional manifolds.
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Pursuing gravitational S-duality
TL;DR: In this article, a strong-weak coupling duality in non-abelian non-supersymmetric theories in four dimensions has been found, which allows to find the "dual action" to the gauge theory of dynamical gravity constructed by the MacDowell-Mansouri model plus the superposition of a Θ term.
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Nonlinearly ghost-free higher curvature gravity
TL;DR: In this article, a unitary and local theory of higher curvature gravity in the vielbein formalism, known as Poincar\'e gauge theory, by utilizing the equivalence to ghost-free massive bigravity is presented.