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arXiv · 1210.7130

Comment on "Dimension of the Moduli Space and Hamiltonian Analysis of BF Field Theories"

Mauricio Mondragon
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Abstract

The purpose of this Comment is to point out that the results presented in the appendix of M. Mondragon and M. Montesinos, J. Math. Phys. 47, 022301 (2006) provides a generic method so as to deal with cases as those of Section 6 of R. Cartas-Fuentevilla, A. Escalante-Hern\'andez, and J. Berra-Montiel, Int. J. Mod. Phys. A 26, 3013 (2011). The results already reported are: the canonical analysis, the transformations generated by the constraints, and the analysis of the reducibility of the constraints for SO(3,1) and SO(4) four-dimensional BF theory coupled or not to a cosmological constant. But such results are generic and hold actually for any Lie algebra having a non-degenerate inner product invariant under the action of the gauge group.

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Mauricio Mondragon. 2012-10-26. Comment on "Dimension of the Moduli Space and Hamiltonian Analysis of BF Field Theories". https://doi.org/10.1142/s0217751x12750012

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