On the classical integrability of Poisson-Lie T-dual WZW models
نویسندگان
چکیده
A bstract We consider the integrability of a two-parameter deformation Wess-Zumino-Witten model, previously introduced in relation with Poisson-Lie T-duality. The resulting family dual models is shown to be integrable by using Maillet r/s formalism.
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولPoisson - Lie T duality ∗
Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the dual pair of σ-models defined by the double SO(3,1) in the Iwasawa decomposition .
متن کاملOn a Poisson-Lie analogue of the classical dynamical Yang-Baxter equation for self-dual Lie algebras
We derive a generalization of the classical dynamical Yang-Baxter equation (CDYBE) on a self-dual Lie algebra G by replacing the cotangent bundle T G in a geometric interpretation of this equation by its Poisson-Lie (PL) analogue associated with a factorizable constant r-matrix on G. The resulting PL-CDYBE, with variables in the Lie group G equipped with the Semenov-Tian-Shansky Poisson bracket...
متن کاملOn the Poisson–Lie T–plurality of boundary conditions
Conditions for the gluing matrix defining consistent boundary conditions of twodimensional nonlinear σ–models are analyzed and reformulated. Transformation properties of the right–invariant fields under Poisson–Lie T–plurality are used to derive a formula for the transformation of the boundary conditions. Examples of transformation of D–branes in two and three dimensions are presented. We find ...
متن کاملPoisson – Lie T - duality beyond the classical level and the renormalization group
In order to study quantum aspects of σ-models related by Poisson–Lie T-duality, we construct three-and two-dimensional models that correspond, in one of the dual faces, to deformations of S 3 and S 2. Their classical canonical equivalence is demonstrated by means of a generating functional, which we explicitly compute. We examine how they behave under the renormalization group and show that dua...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2023
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep01(2023)127