English

Invariants of Spin Networks from Braided Ribbon Networks

Mathematical Physics 2011-06-28 v1 General Relativity and Quantum Cosmology math.MP

Abstract

We connect Braided Ribbon Networks to the states of loop quantum gravity. Using this connection we present the reduced link as an invariant which captures information from the embedding of the spin-networks. We also present a means of understanding higher valent nodes in the context of braided ribbon networks and an interpretation of the dual of these nodes as polygons or polyhedra.

Keywords

Cite

@article{arxiv.1106.5095,
  title  = {Invariants of Spin Networks from Braided Ribbon Networks},
  author = {Jonathan Hackett},
  journal= {arXiv preprint arXiv:1106.5095},
  year   = {2011}
}

Comments

11 pages, 21 figures