Shift Operator for Nonabelian Lattice Current Algebra

Ludvig Faddeev; Alexander Yu. Volkov

doi:10.2977/prims/1145475443

JournalsprimsVol. 40, No. 4pp. 1113–1125

Shift Operator for Nonabelian Lattice Current Algebra

Ludvig Faddeev
Steklov Mathematical Institute, St. Petersburg, Russian Federation
Alexander Yu. Volkov
Vrije Universiteit Brussel, Brussels, Belgium

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Abstract

The shift operator for a quantum lattice current algebra associated with $s l (2)$ 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, Alexander Yu. Volkov, Shift Operator for Nonabelian Lattice Current Algebra. Publ. Res. Inst. Math. Sci. 40 (2004), no. 4, pp. 1113–1125

DOI 10.2977/PRIMS/1145475443