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Supersymmetric Holst action with matter coupling and parity violation

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arxiv 1202.2232 v2 pith:WZ6IXUXJ submitted 2012-02-10 gr-qc

classification gr-qc
keywords holstactionconstructioncouplingmatterparitysupergravitiesbreaks
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A general construction of the Holst action is discussed. Based on this, the N = 1, 2, 4, 8 supergravities and N = 1 supergravities with matter coupling are presented. It is shown that in all this cases the Immirzi parameter dose not influence the field equations. The construction ensures that the theory is invariant under supersymmetry as well as gauge transformations, but the Holst extension breaks parity.

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  1. The Komar charge in presence of the Holst term and the gravitational Witten effect

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Holst term shifts the Komar mass of Taub-NUT space by -αN, giving a gravitational analog of the Witten effect.

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