The shift operator for a quantum lattice current algebra associated with sl(2) is produced in the form of product of local factors. This gives a natural deformation of the Sugawara construction for discrete space-time.
Cite this article
Ludvig Faddeev, Stefaan Caenepeel, Shift Operator for Nonabelian Lattice Current Algebra. Publ. Res. Inst. Math. Sci. 40 (2004), no. 4, pp. 1113–1125DOI 10.2977/PRIMS/1145475443