Nonabelian Dualization of Plane Wave Backgrounds

• 作者: Ladislav Hlavaty Miroslav Turek
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: SIGMA MODEL STRING DUALITY pp-Wave BACKGROUND
• 年，卷（期）: 2012,（9）
• 页码范围: 1088-1095
• 页数: 8页
• 分类号: O1

摘要

We investigate plane-parallel wave metrics from the point of view of their (Poisson-Lie) T-dualizability. For that purpose we reconstruct the metrics as backgrounds of nonlinear sigma models on Lie groups. For construction of dual backgrounds we use Drinfel’d doubles obtained from the isometry groups of the metrics. We find dilaton fields that enable to satisfy the vanishing beta equations for the duals of the homogenous plane-parallel wave metric. Torsion potentials or B-fields, invariant w.r.t. the isometry group of Lobachevski plane waves are obtained by the Drinfel’d double construction. We show that a certain kind of plurality, different from the (atomic) Poisson-Lie T-plurality, may exist in case that metrics admit several isometry subgroups having the dimension of the Riemannian manifold. An example of that are two different backgrounds dual to the homogenous plane-parallel wave metric.