Spin Foam - Definition

Definition

The partition function for a spin foam model is, in general,

with:

  • a set of two complexes each consisting out of faces, edges and vertices . Associated to each two complexes is a weight
  • a set of irreducible representations which label the faces and intertwiners which label the edges.
  • a vertex amplitude and an edge amplitude
  • a face amplitude, for which we almost always have

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