Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories
General Relativity and Quantum Cosmology
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.gr-qc/0603076,
title = {Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories},
author = {Merced Montesinos},
journal= {arXiv preprint arXiv:gr-qc/0603076},
year = {2008}
}
Comments
13 pages, LaTeX file, no figures