On two-dimensional quasitopological field theories

Details On two-dimensional quasitopological field theories On two-dimensional quasitopological field theories

2009-05-13

arxiv.org/abs/0905.2119v1

Int.J.Mod.Phys.A24:6105-6121,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 6 figures

Scientific paper

10.1142/S0217751X09047624

We study a class of lattice field theories in two dimensions that includes gauge theories. We show that in these theories it is possible to implement a broader notion of local symmetry, based on semi-simple Hopf algebras. A character expansion is developed for the quasitopological field theories, and partition functions are calculated with this tool. Expected values of generalized Wilson loops are defined and studied with the character expansion.

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