Shift Operator for Nonabelian Lattice Current Algebra
L. Faddeev, A. Yu. Volkov
TL;DR
This paper introduces a shift operator for a quantum lattice current algebra related to sl(2), providing a natural deformation of the Sugawara construction in discrete space-time.
Contribution
It constructs a shift operator as a product of local factors, offering a novel approach to quantum lattice current algebra deformation.
Findings
Shift operator formulated as a product of local factors
Deformation of Sugawara construction for discrete space-time
Advances understanding of quantum lattice current algebra
Abstract
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.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Topics in Algebra · Algebraic structures and combinatorial models