Poisson-Lie sigma models over low dimensional real Poisson-Lie groups

Abstract

The Poisson-Lie sigma models over nonsemisimple low dimensional real Poisson-Lie groups are investigated. We find two sided models on two, three and some four dimensional Poisson-Lie groups where the Poisson-Lie sigma models over Poisson-Lie groups G and its dual $\tilde{G}$ are topological sigma models or BF gauge models.

12 pages, 1 tables

References in corpus (2)

• Two-Dimensional Gravity and Nonlinear Gauge Theory
• The Topological G/G WZW Model in the Generalized Momentum Representation