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Duality in Yang’s theory of gravity

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Abstract

The historical route and the current status of a curvature-squared model of gravity, in the affine form proposed by Yang, is briefly reviewed. Due to its inherent scale invariance, it enjoys some advantage for quantization, similarly as internal Yang-Mills fields. However, the exact vacuum solutions with double duality properties exhibit a ‘vacuum degeneracy’. By modifying the duality via a scale breaking term, we demonstrate that only the Einstein equations with induced cosmological constant emerge for the classical background, even when coupled to matter sources.

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Authors and Affiliations

  1. Departamento de Física, Universidad Autónoma Metropolitana–Iztapalapa, P.O. Box 55-534, 09340, México D.F., Mexico

    Eckehard W. Mielke & Alí A. Rincón Maggiolo

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  1. Eckehard W. Mielke
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  2. Alí A. Rincón Maggiolo
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Correspondence to Eckehard W. Mielke.

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Mielke, E.W., Rincón Maggiolo, A.A. Duality in Yang’s theory of gravity. Gen Relativ Gravit 37, 997–1007 (2005). https://doi.org/10.1007/s10714-005-0083-2

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