Jacobi-Lie symmetry in WZW model on the Heisenberg Lie group $H_4$

Abstract

We show that the Wess-Zumino-Novikov-Witten (WZW) model on the Heisenberg Lie group $H_4$ has Jacobi-Lie symmetry with four dual Lie groups. We construct Jacobi-Lie T-dual sigma models with one of their Jacobi-Lie bialgebra and show that the original model is equivalent to the $H_4$ WZW model. The conformality of the dual sigma model up to one-loop order is also investigated.

13 pages

References in corpus (2)

• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds