The Quantum Double in Integrable Quantum Field Theory

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.

43 pages

References in corpus (1)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators

Cited by in corpus (43)

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• Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
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• Supersymmetry and the Nonlocal Yangian Deformation Symmetry
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• Integrable QFT and Longo-Witten endomorphisms
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• The Quantum Spectrum of the Conserved Charges in Affine Toda Theories
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• The Drinfeld double gl(n) \oplus t_n
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• Integrable perturbations of conformal field theories and Yetter-Drinfeld modules
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• Free boson representation of DY_{\hbar}(gl_N)_k
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• Operator Coproduct-Realization of Quantum Group Transformations in Two Dimensional Gravity, I.