Gravitational Duality in MacDowell-Mansouri Gauge Theory

Abstract

Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show that an analogous procedure allows to find the dual action to the gauge theory of gravity constructed by the MacDowell-Mansouri model plus the superposition of a $\Theta$ term.

arXiv comment9 pages, LaTeX, no figures

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• Dual Description of Supergravity MacDowell-Mansouri Theory
• Duality for symmetric second rank tensors.(I): the massive case
• A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
• Remarks on 2+1 Self-dual Chern-Simons Gravity
• Dual Linearised Gravity in Arbitrary Dimensions
• On S-duality in (2+1)-Chern-Simons Supergravity
• Self-dual gravity and self-dual Yang-Mills in the context of Macdowell-Mansouri formalism
• Duality-Symmetric Approach to General Relativity and Supergravity
• Pursuing Gravitational S-Duality
• Hidden Symmetries of M-Theory and Its Dynamical Realization
• S-duality for 2-d gravity
• Comments on the symmetry breaking condition in MacDowell-Mansouri action
• New Reflections on Gravitational Duality
• Interactions in MacDowell-Mansouri Gravitation