Linking topological quantum field theory and nonperturbative quantum gravity

  title={Linking topological quantum field theory and nonperturbative quantum gravity},
  author={Lee Smolin},
  journal={Journal of Mathematical Physics},
  • L. Smolin
  • Published 17 May 1995
  • Mathematics
  • Journal of Mathematical Physics
Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory in which the pullback of the curvature to the boundary is self‐dual (with a cosmological constant). A Hilbert space which describes all the information accessible by measuring the metric and connection induced in the boundary is constructed and is found to be the direct sum of the state spaces of all SU(2… 
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