From String Nets to Nonabelions

  title={From String Nets to Nonabelions},
  author={Lukasz M. Fidkowski and Michael H. Freedman and C. Nayak and Kevin Walker and Zhenghan Wang},
  journal={Communications in Mathematical Physics},
We discuss Hilbert spaces spanned by the set of string nets, i.e. trivalent graphs, on a lattice. We suggest some routes by which such a Hilbert space could be the low-energy subspace of a model of quantum spins on a lattice with short-ranged interactions. We then explain conditions which a Hamiltonian acting on this string net Hilbert space must satisfy in order for the system to be in the DFib (Doubled Fibonacci) topological phase, that is, be described at low energy by an SO(3)3 × SO(3)3… 
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  • Wen-Tao Xu, N. Schuch
  • Physics
    Physical Review B
  • 2021
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