Self-dual gravity and self-dual Yang-Mills in the context of Macdowell-Mansouri formalism

Abstract

In this work we propose an action which unifies self-dual gravity and self-dual Yang-Mills in the context of the Macdowell-Mansouri formalism. We claim that such an action may be used to find the S-dual action for both self-dual gravity and self-dual Yang-Mills.

8 pages, Revtex, no figures, submitted to Phys. Rev. D

References in corpus (4)

• Gravitational Duality in MacDowell-Mansouri Gauge Theory
• Duality and Global Symmetries
• Towards a Gravitational Analog to S-duality in Non-abelian Gauge Theories
• Coupling of Gravity to Matter via SO(3,2) Gauge Fields

Cited by in corpus (6)

• Faddeev-Jackiw quantization of topological invariants: Euler and Pontryagin classes
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Superfield Description of a Self-Dual Supergravity a la MacDowell-Mansouri
• Vector-tensor gravity from a broken gauge symmetry
• Self-Dual Conformal Supergravity and the Hamiltonian Formulation
• From Special Relativity to embedded generators in Cartan subalgebras of rank-4 spin algebras