On Dual Formulation of Gravity

Details On Dual Formulation of Gravity On Dual Formulation of Gravity

2005-04-26

arxiv.org/abs/hep-th/0504210v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, plain LaTeX

Scientific paper

10.1088/1126-6708/2006/10/009

In this paper we consider a possibility to construct dual formulation of gravity where the main dynamical field is the Lorentz connection \omega_\mu^{ab} and not that of tetrad e_\mu^a or metric g_\mu\nu. Our approach is based on the usual dualization procedure which uses first order parent Lagrangians but in (Anti) de Sitter space and not in the flat Minkowski one. It turns out that in d=3 dimensions such dual formulation is related with the so called exotic parity-violating interactions for massless spin-2 particles.

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