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arXiv · 1109.6701

Hamiltonian BF theory and projected Borromean Rings

Ernesto Contreras·Adalberto Díaz·Lorenzo Leal
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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.

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Ernesto Contreras, Adalberto Díaz, Lorenzo Leal. 2011-10-10. Hamiltonian BF theory and projected Borromean Rings. https://doi.org/10.1142/10.1142%2Fs0217732312500691

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