Lattice topological field theory in two dimensions
| Autor: | Shinobu Hosono, M. Fukuma, Hikaru Kawai |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
High Energy Physics - Theory
Physics Pure mathematics Topological quantum field theory Hilbert space FOS: Physical sciences Statistical and Nonlinear Physics 81T25 symbols.namesake Exact solutions in general relativity High Energy Physics - Theory (hep-th) 81T40 Lattice (order) Associative algebra symbols Computer Science::Symbolic Computation 57N05 Mathematical Physics Associative property Group ring |
| Zdroj: | Comm. Math. Phys. 161, no. 1 (1994), 157-175 |
| ISSN: | 1432-0916 0010-3616 |
| DOI: | 10.1007/bf02099416 |
| Popis: | 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 $R$, and the physical Hilbert space is identified with the center $Z(R)$ of the associative algebra $R$. 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 $N=2$ minimal topological matter and the case where $R$ is a group ring. Comment: 29 pages (Latex) + 19 figures (uuencoded through uufiles) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink