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Article Dans Une Revue Physical Review D Année : 2013

The spin connection of twisted geometry

Résumé

Twisted geometry is a piecewise-flat geometry less rigid than Regge geometry. In Loop Gravity, it provides the classical limit for each step of the truncation utilized in the definition of the quantum theory. We define the torsionless spin-connection of a twisted geometry. The difficulty given by the discontinuity of the triad is addressed by interpolating between triads. The curvature of the resulting spin connection reduces to the Regge curvature in the case of a Regge geometry.
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hal-00765622 , version 1 (20-09-2023)

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Hal M. Haggard, Carlo Rovelli, Francesca Vidotto, Wolfgang Wieland. The spin connection of twisted geometry. Physical Review D, 2013, 87 (2), pp.024038. ⟨10.1103/PhysRevD.87.024038⟩. ⟨hal-00765622⟩
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