Para-Hermitian geometries for Poisson-Lie symmetric sigma-models

Hassler, Falk; Luest, Dieter and Rudolph, Felix J. (2019): Para-Hermitian geometries for Poisson-Lie symmetric sigma-models. In: Journal of High Energy Physics, No. 10, 160

Abstract

The doubled target space of the fundamental closed string is identified with its phase space and described by an almost para-Hermitian geometry. We explore this setup in the context of group manifolds which admit a maximally isotropic subgroup. This leads to a formulation of the Poisson-Lie sigma-model and Poisson-Lie T-duality in terms of para-Hermitian geometry. The emphasis is put on so called half-integrable setups where only one of the Lagrangian subspaces of the doubled space has to be integrable. Using the dressing coset construction in Poisson-Lie T-duality, we extend our construction to more general coset spaces. This allows to explicitly obtain a huge class of para-Hermitian geometries. Each of them is automatically equipped which a generalized frame field, required for consistent generalized Scherk-Schwarz reductions. As examples we present integrable lambda- and eta-deformations on the three- and two-sphere.

• Item Type: Journal article
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 1029-8479
• Language: English