English

Two dimensional lattice gauge theory based on a quantum group

High Energy Physics - Theory 2009-10-28 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9405126,
  title  = {Two dimensional lattice gauge theory based on a quantum group},
  author = {E. Buffenoir Ph. Roche},
  journal= {arXiv preprint arXiv:hep-th/9405126},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T15:50:02.452Z