The Quantum Double in Integrable Quantum Field Theory
D. Bernard, A. LeClair
TL;DR
This paper reviews affine quantum group symmetry in integrable 2D quantum field theory, clarifies the quantum double's geometric meaning, and analyzes multiplicative presentations of the Yangian double.
Contribution
It provides a geometric interpretation of the quantum double and analyzes the multiplicative structure of the Yangian double in integrable quantum field theories.
Findings
Clarified the geometric meaning of the quantum double.
Analyzed multiplicative presentations of the Yangian double.
Reviewed properties of affine quantum group symmetry.
Abstract
Various aspects of recent works on affine quantum group symmetry of integrable 2d quantum field theory are reviewed and further clarified. A geometrical meaning is given to the quantum double, and other properties of quantum groups. Multiplicative presentations of the Yangian double are analyzed.
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