Abstract
In this article we analyse a two dimensional lattice gauge theory based on a quantum group. The algebra generated by gauge fields is the lattice algebra introduced recently by A.Yu. Alekseev, H. Grosse and V. Schomerus in [1]. We define and study Wilson loops. This theory is quasi-topological as in the classical case, which allows us to compute the correlation functions of this theory on an arbitrary surface.
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Communicated by R.H. Dijkgraaf
Laboratoire Propre du CNRS UPR 14
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Buffenoir, E., Roche, P. Two dimensional lattice gauge theory based on a quantum group. Commun.Math. Phys. 170, 669–698 (1995). https://doi.org/10.1007/BF02099153
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DOI: https://doi.org/10.1007/BF02099153