WZW-Poisson manifolds

被引：93

作者：

Klimcík, C

Strobl, T

机构：

[1] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany

[2] Inst Math Luminy, F-13288 Marseille, France

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2002年 / 43卷 / 04期

关键词：

twisted Poisson manifolds; Dirac structures; controlled nonassociativity;

D O I：

10.1016/S0393-0440(02)00027-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We observe that a term of the WZW-type can be added to the Lagrangian of the Poisson or sigma-model in such a way that the algebra of the first class constraints remains closed. This leads to a natural generalization of the concept of Poisson geometry. The resulting "WZW-Poisson" manifold M is characterized by a bivector Pi and by a closed three-form H such that 1/2[Pi, Pi](Schouten) = [H, Pi x Pi x Pi]. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：341 / 344

页数：4

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