T-duality on nilmanifolds

被引：0
作者：
Viviana del Barco
Lino Grama
Leonardo Soriani
机构：
[1] CONICET,Department of Mathematics
[2] Universidad Nacional de Rosario,undefined
[3] University of Campinas - UNICAMP,undefined
来源：
Journal of High Energy Physics | / 2018卷
关键词：
D-branes; Differential and Algebraic Geometry; Global Symmetries; String Duality;
D O I：
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学科分类号：
摘要：
We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called Infinitesimal T -duality. As an application we deal with the problem of finding symplectic structures on 2-step nilpotent Lie algebras. We also give a criteria for the integrability of the infinitesimal T-duality of Lie algebras to topological T-duality of the associated nilmanifolds.
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