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- W2341320171 abstract "Chern-Simons theories occur in Physics more often than one may think. In particular, the Hamiltonian action for any mechanical system with finite number of degrees of freedom is a CS Lagrangian. CS forms can be seen as generalizations of the coupling between the electromagnetic field and a point charge. It should come as no surprise, therefore, that the CS forms are perfectly suited to describe the consistent coupling of a (nonabelian) gauge connection to extended charged objects (branes). An application of this is provided by a spacetime region M where the electromagnetic field is described by the Lagrangian 1 4 (F ∧ ∗ F +θF ∧F). Since the Maxwell equations are unaffected by the presence of the θ -term, this represents a slight modification of the vacuum in M (θ -vacuum). This modification is shown to correspond to the addition of a form of matter that couples through a CS form on the surface of M. The connection to superconductivity is also briefly mentioned." @default.
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- W2341320171 date "2011-03-10" @default.
- W2341320171 modified "2023-10-16" @default.
- W2341320171 title "Introduction to Chern-Simons Theory" @default.
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- W2341320171 doi "https://doi.org/10.22323/1.124.0004" @default.
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