The quantum double in integrable quantum field theory

Denis Bernard (1) , André Leclair

1 SPhT - Service de Physique Théorique

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.

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Denis Bernard, André Leclair. The quantum double in integrable quantum field theory. Nuclear Physics B, 1993, 399 (2-3), pp.709-748. ⟨10.1016/0550-3213(93)90515-Q⟩. ⟨hal-03370750⟩