4.10 Non-spherical lattices

Alternative topologies for the underlying simplicial complex were considered by Bilke et al. [5153]. They showed that for topologies S1 × S3 and T 4, the free energy agrees to leading order with that of S4. Neither the critical value κc(κ ,N ) 4 2 4, nor the leading contributions to the action density ⟨N ⟩∕N 2 4 are changed. However, the simulations become more involved, since the size of the minimal configurations is increased.
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