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- W3100827240 abstract "There are two natural Chern–Simons theories associated with the embedding of a three-dimensional surface in Euclidean space: one is constructed using the induced metric connection and involves only the intrinsic geometry? the other is extrinsic and uses the connection associated with the gauging of normal rotations. As such, the two theories appear to describe very different aspects of the surface geometry. Remarkably, at a classical level, they are equivalent. In particular, it will be shown that their stress tensors differ only by a null contribution. Their Euler–Lagrange equations provide identical constraints on the normal curvature. A new identity for the Cotton tensor is associated with the triviality of the Chern–Simons theory for embedded hypersurfaces implied by this equivalence." @default.
- W3100827240 created "2020-11-23" @default.
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- W3100827240 date "2007-03-20" @default.
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- W3100827240 title "Chern–Simons theory and three-dimensional surfaces" @default.
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- W3100827240 doi "https://doi.org/10.1088/0264-9381/24/7/009" @default.
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