Lattice topological field theory in two dimensions

  title={Lattice topological field theory in two dimensions},
  author={Masafumi Fukuma and Shinobu Hosono and Hikaru Kawai},
  journal={Communications in Mathematical Physics},
The lattice definition of a two-dimensional topological field theory (TFT) is given generically, and the exact solution is obtained explicitly. In particular, the set of all lattice topological field theories is shown to be in one-to-one correspondence with the set of all associative algebrasR, and the physical Hilbert space is identified with the centerZ(R) of the associative algebraR. Perturbations of TFT's are also considered in this approach, showing that the form of topological… 

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