• DOI:10.1103/PhysRevD.87.024038
Corpus ID: 7338670

Spin connection of twisted geometry

@article{Haggard2013SpinCO,
  title={Spin connection of twisted geometry},
  author={Hal M. Haggard and C. Rovelli and F. Vidotto and W. Wieland},
  journal={Physical Review D},
  year={2013},
  volume={87},
  pages={024038}
}

Hal M. Haggard, C. Rovelli, +1 author W. Wieland

Published 2013

Physics

Physical Review D

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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.