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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SL(2,Z) action on three-dimensional CFTs and holography
TL;DR: In this paper, it was shown that there is a natural action of SL(2, Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs.
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Algebraic Simplifications in Supergravity Theories
Eugène Cremmer,Joel Scherk +1 more
TL;DR: In this paper, a set of new auxilary fields is introduced which linearizes the equation of motion of the spin -3 2 field for the SO(2) theory.
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Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
Ioseph L. Buchbinder,Angelos Fotopoulos,Angelos Fotopoulos,Anastasios C. Petkou,Mirian Tsulaia +4 more
TL;DR: In this paper, the authors proposed a method of constructing a cubic interaction in massless higher spin gauge theory both in flat and in AdS space-times of arbitrary dimensions, based on the use of oscillator formalism and on the Becchi-Rouet-Stora Tyutin (BRST) technique.
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N=1 supersymmetric theory of higher spin gauge fields in AdS(5) at the cubic level
TL;DR: In this article, the authors formulate gauge invariant interactions of totally symmetric tensor and tensor-spinor higher spin gauge fields in AdS 5 that properly account for higher-spin-gravitational interactions at the action level in the first non-trivial order.
Journal ArticleDOI
Gauge theory of two-dimensional gravity
TL;DR: In this paper, the theory of gravity in two dimensions is discussed as a O(2,1) gauge theory and the generators of the conformal algebra in terms of a Lionville field and an associated scalar are obtained.