書誌事項
- 公開日
- 2013-11
- 権利情報
-
- https://creativecommons.org/licenses/by/2.0
- https://creativecommons.org/licenses/by/2.0
- DOI
-
- 10.1007/jhep11(2013)192
- 公開者
- Springer Science and Business Media LLC
説明
<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>A procedure is developed for constructing deformations of integrable <jats:italic>σ</jats:italic>-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group <jats:italic>F</jats:italic>, one recovers the Yang-Baxter <jats:italic>σ</jats:italic>-model introduced a few years ago by C. Klimčík. In the case of the symmetric space <jats:italic>σ</jats:italic>-model on <jats:italic>F/G</jats:italic> we obtain a new one-parameter family of integrable <jats:italic>σ</jats:italic>-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 <jats:italic>q</jats:italic>-deformation of the symmetry corresponding to left multiplication in the original models, which becomes replaced by a classical <jats:italic>q</jats:italic>-deformed Poisson-Hopf algebra. Another noteworthy aspect of the deformation in the coset <jats:italic>σ</jats:italic>-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)<jats:italic>/</jats:italic>U(1) coset <jats:italic>σ</jats:italic>-model which interpolates all the way to the SU(1<jats:italic>,</jats:italic> 1)<jats:italic>/</jats:italic>U(1) coset <jats:italic>σ</jats:italic>-model.</jats:p>
収録刊行物
-
- Journal of High Energy Physics
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Journal of High Energy Physics 2013 (11), 192-, 2013-11
Springer Science and Business Media LLC
