Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds

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.

11 pages

References in corpus (5)

• Measurement of ${\rm Y}$ production in $pp$ collisions at $\sqrt{s}$= 13 TeV
• Poisson-Lie T-dual sigma models on supermanifolds
• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• Classification of real low dimensional Jacobi(generalized)-Lie bialgebras
• Classical r-matrices of real low-dimensional Jacobi-Lie bialgebras and their Jacobi-Lie groups

Cited by in corpus (6)

• Jacobi-Lie T-plurality
• Extended Drinfel'd algebras and non-Abelian duality
• Jacobi-Lie Models and Supergravity Equations
• Jacobi-Lie symmetry in WZW model on the Heisenberg Lie group $H_4$
• Plane-parallel waves as Jacobi-Lie models
• On spectator dependence of Jacobi-Lie T-plurality