The quantum double in integrable quantum field theory
type: Item
instance of: scholarly article
title: The quantum double in integrable quantum field theory
zbMATH Open document ID: 0894.17007
DOI: 10.1016/0550-3213(93)90515-Q
author: Denis Bernard
author: André LeClair
publication date: 1993-09-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9205064
review text: 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. The \(S\)-matrix is identified with the universal \(R\)-matrix. Multiplicative presentations of the Yangian double are analyzed.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 245834
zbMATH Keywords: affine quantum group
zbMATH Keywords: quantum double
zbMATH Keywords: \(S\)-matrix
zbMATH Keywords: universal \(R\)-matrix
zbMATH Keywords: Yangian double
MaRDI profile type: Publication
arXiv ID: hep-th/9205064
cites work: Quantum inverse problem method. I
cites work: Classical and quantum algebras of non-local charges in \(\sigma\) models
cites work: Quantum group symmetries and non-local currents in 2D QFT
cites work: RESTRICTED QUANTUM AFFINE SYMMETRY OF PERTURBED MINIMAL CONFORMAL MODELS
cites work: Hidden Yangians in 2D massive current algebras
cites work: Quantum affine algebras and holonomic difference equations
cites work: Form-factors in the SU(2)-invariant Thirring model
cites work: Central extensions of quantum current groups
cites work: \((T^*G)_ t\): a toy model for conformal field theory
cites work: Vertex representations of quantum affine algebras
cites work: Infinite conformal symmetry in two-dimensional quantum field theory
OpenAlex ID: W3100816533
published in: Nuclear Physics B
description: scientific article