Hamiltonian BF theory and projected Borromean Rings
High Energy Physics - Theory
2012-04-16 v3 Mathematical Physics
math.MP
Abstract
It is shown that the canonical formulation of the abelian BF theory in D = 3 allows to obtain topological invariants associated to curves and points in the plane. The method consists on finding the Hamiltonian on-shell of the theory coupled to external sources with support on curves and points in the spatial plane. We explicitly calculate a non-trivial invariant that could be seen as a "projection" of the Milnor's link invariant MU(1; 2; 3), and as such, it measures the entanglement of generalized (or projected) Borromeans Rings in the Euclidean plane.
Keywords
Cite
@article{arxiv.1109.6701,
title = {Hamiltonian BF theory and projected Borromean Rings},
author = {Ernesto Contreras and Adalberto Díaz and Lorenzo Leal},
journal= {arXiv preprint arXiv:1109.6701},
year = {2012}
}
Comments
6 pages, 1 figure, typos corrected, figure corrected