Poisson geometry of sigma models with extended supersymmetry

被引：37

作者：

Lyakhovich, SL

Zabzine, M

机构：

[1] Tomsk State Univ, Dept Theoret Phys, Tomsk 634050, Russia

[2] Ist Nazl Fis Nucl, Sezione Firenze, Dipartimento Fis, I-50019 Sesto, Italy

来源：

PHYSICS LETTERS B | 2002年 / 548卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1016/S0370-2693(02)02851-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider a general N = (2,2) non-linear sigma model with a torsion. We show that the consistency of N = (2, 2) supersymmetry implies that the target manifold is necessary equipped with two (in general, different) Poisson structures. Finally we argue that the Poisson geometry of the target space is a characteristic feature of the sigma models with extended supersymmetry. (C) 2002 Elsevier Science B.V All rights reserved.

引用

页码：243 / 251

页数：9

共 28 条

[1] GEOMETRICAL STRUCTURE AND ULTRAVIOLET FINITENESS IN THE SUPERSYMMETRIC SIGMA-MODEL [J].