Nonabelian Dualization of Plane Wave Backgrounds
平面波背景的非阿贝尔二元化作者机构：Faculty of Nuclear Sciences and Physical EngineeringCzech Technical University in PraguePragueCzech Republic
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2012年第3卷第9期
页 面：1088-1095页
基 金：supported by the research plan LC527 of the Ministry of Education of the Czech Republic.
主 题：Sigma Model String Duality pp-Wave Background
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.
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