Lattice topological field theory in two-dimensions
Jan 5, 199333 pages
Published in:
- Commun.Math.Phys. 161 (1994) 157-176
e-Print:
- hep-th/9212154 [hep-th]
DOI:
Report number:
- CLNS-92-1173
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Abstract:
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 algebras , and the physical Hilbert space is identified with the center of the associative algebra . Perturbations of TFT's are also considered in this approach, showing that the form of topological perturbations is automatically determined, and that all TFT's are obtained from one TFT by such perturbations. Several examples are presented, including twisted minimal topological matter and the case where is a group ring.- field theory: topological
- dimension: 2
- lattice field theory
- perturbation theory
- correlation function
- moduli space
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