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Title Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds
Type of Research Article
Keywords Jacobi-Lie symmetry, T-dual sigma models
Abstract Using the concept of Jacobi-Lie group and Jacobi-Lie bialgebra, we generalize the definition of Poisson-Lie symmetry to Jacobi-Lie symmetry. In this regard, we generalize the concept of Poisson-Lie T-duality to Jacobi-Lie T-duality and present Jacobi-Lie T-dual sigma models on Lie groups, which have Jacobi-Lie symmetry. Using this symmetry, new cases of duality appear and some examples are given. This generalization may provide insights to understand the quantum features of Poisson-Lie T-duality, in a more satisfactory way.
Researchers Adel Rezaei-Aghdam (First Researcher)، Mahdi Sefid (Second Researcher)