On classical q-deformations of integrable σ-models
Abstrak
A bstractA procedure is developed for constructing deformations of integrable σ-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group F, one recovers the Yang-Baxter σ-model introduced a few years ago by C. Klimčík. In the case of the symmetric space σ-model on F/G we obtain a new one-parameter family of integrable σ-models. The actions of these models correspond to a deformation of the target space geometry and include a torsion term. An interesting feature of the construction is the q-deformation of the symmetry corresponding to left multiplication in the original models, which becomes replaced by a classical q-deformed Poisson-Hopf algebra. Another noteworthy aspect of the deformation in the coset σ-model case is that it interpolates between a compact and a non-compact symmetric space. This is exemplified in the case of the SU(2)/U(1) coset σ-model which interpolates all the way to the SU(1, 1)/U(1) coset σ-model.
Topik & Kata Kunci
Penulis (3)
F. Delduc
M. Magro
B. Vicedo
Akses Cepat
- Tahun Terbit
- 2013
- Bahasa
- en
- Total Sitasi
- 246×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1007/JHEP11(2013)192
- Akses
- Open Access ✓