Abstract
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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ArXiv ePrint: 1703.07497
V. del Barco supported by FAPESP grants 2015/23896-5 and 2017/13725-4.
L. Grama supported by FAPESP grants 2016/22755-1 and 2012/18780-0.
L. Soriani supported by FAPESP grant 2015/10937-5.
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del Barco, V., Grama, L. & Soriani, L. T-duality on nilmanifolds. J. High Energ. Phys. 2018, 153 (2018). https://doi.org/10.1007/JHEP05(2018)153
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DOI: https://doi.org/10.1007/JHEP05(2018)153