Hamilton BF理论与投射Borromean环
Hamiltonian BF theory and projected Borromean Rings
摘要:
它表明,规范制定的阿贝尔BF理论在D = 3允许获得拓扑不变量相关联的曲线和点在平面上。该方法包括寻找哈密顿壳理论耦合到外部源的支持曲线和点的空间平面。我们明确地计算了一个非平凡的不变量,可以被看作是一个“投影”的米尔诺尔的链接不变量MU(1; 2; 3),因此,它的措施广义(或投影)Borromeans环的纠缠在欧几里德平面。
英文摘要:
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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