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Does three dimensional electromagnetic field inherit the spacetime symmetries?

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arxiv 1508.03343 v2 pith:P2E3QXYS submitted 2015-08-13 gr-qc hep-th

classification gr-qchep-th
keywords spacetimedimensionalelectromagneticfieldgravitationalsymmetriestheorieschern-simons
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We prove that the electromagnetic field in a (1+2)-dimensional spacetime necessarily inherits the symmetries of the spacetime metric in a large class of generalized Einstein-Maxwell theories. The Lagrangians of the studied theories have general diff-covariant gravitational part and include both the gravitational and the gauge Chern-Simons terms.

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  1. Breaking of scaling symmetry by massless scalar on de Sitter

    gr-qc 2019-08 conditional novelty 5.0 of 10

    The regular response of a massless minimally coupled scalar to a static point charge on de Sitter necessarily breaks dilatation symmetry, even though its energy-momentum tensor does not.

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