Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories

Details Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories

2006-03-19

arxiv.org/abs/gr-qc/0603076v1

Class.Quant.Grav.23:2267-2278,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LaTeX file, no figures

Scientific paper

10.1088/0264-9381/23/7/004

The most general action, quadratic in the B fields as well as in the curvature F, having SO(3,1) or SO(4) as the internal gauge group for a four-dimensional BF theory is presented and its symplectic geometry is displayed. It is shown that the space of solutions to the equations of motion for the BF theory can be endowed with symplectic structures alternative to the usual one. The analysis also includes topological terms and cosmological constant. The implications of this fact for gravity are briefly discussed.

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