Two dimensional lattice gauge theory based on a quantum group

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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35 pages LaTex file,CPTH A302-05.94 (we have corrected some misprints and added more material to be complete)

Scientific paper

10.1007/BF02099153

In this article we analyze 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 we define and
study wilson loops and compute explicitely the partition function on any
Riemann surface. This theory appears to be related to Chern-Simons Theory.

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