Bubble networks: framed discrete geometry for quantum gravity

@article{Freidel2018BubbleNF,
  title={Bubble networks: framed discrete geometry for quantum gravity},
  author={L. Freidel and E. Livine},
  journal={General Relativity and Gravitation},
  year={2018},
  volume={51},
  pages={1-25}
}
  • L. Freidel, E. Livine
  • Published 2018
  • Physics
  • General Relativity and Gravitation
  • In the context of canonical quantum gravity in 3 $$+$$+ 1 dimensions, we introduce a new notion of bubble network that represents discrete 3d space geometries. These are natural extensions of twisted geometries, which represent the geometrical data underlying loop quantum geometry and are defined as networks of $$\mathrm {SU}(2)$$SU(2) holonomies. In addition to the $$\mathrm {SU}(2)$$SU(2) representations encoding the geometrical flux, the bubble network links carry a compatible $$\mathrm {SL… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 47 REFERENCES