Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-16
Mod.Phys.Lett.A9:2359-2370,1994
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 3 PS figures included
Scientific paper
10.1142/S0217732394002239
We investigate the 3d lattice topological field theories defined by Chung, Fukuma and Shapere. We concentrate on the model defined by taking a deformation $\D{G}$ of the quantum double of a finite commutative group $G$ as the underlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partition function is related to that of Dijkgraaf-Witten by $\zcfs = |\zdw|^2$ when $G=\Z_{2N+1}$. For $G=\Z_{2N}$, such a relation does not hold.
Asano Masako
Higuchi Saburo
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