2018
del Barco, Viviana; Grama, Lino
On generalized G2-structures and T-duality Journal Article
Em: Journal of Geometry and Physics, vol. 132, pp. 109-113, 2018.
Resumo | Links | BibTeX | Tags: G2-Structures, T-duality
@article{nokey,
title = {On generalized G2-structures and T-duality},
author = {Viviana del Barco and Lino Grama},
url = {https://www.sciencedirect.com/science/article/pii/S0393044018303413?via%3Dihub},
doi = {https://doi.org/10.1016/j.geomphys.2018.05.021},
year = {2018},
date = {2018-06-18},
journal = {Journal of Geometry and Physics},
volume = {132},
pages = {109-113},
abstract = {This is a short note on generalized -structures obtained as a consequence of a -dual construction given in del Barco et al. (2017). Given classical -structure on certain seven dimensional manifolds, either closed or co-closed, we obtain integrable generalized -structures which are no longer a usual one, and with non-zero three form in general. In particular we obtain manifolds admitting closed generalized -structures not admitting closed (usual) -structures.},
keywords = {G2-Structures, T-duality},
pubstate = {published},
tppubtype = {article}
}
This is a short note on generalized -structures obtained as a consequence of a -dual construction given in del Barco et al. (2017). Given classical -structure on certain seven dimensional manifolds, either closed or co-closed, we obtain integrable generalized -structures which are no longer a usual one, and with non-zero three form in general. In particular we obtain manifolds admitting closed generalized -structures not admitting closed (usual) -structures.
del Barco, Viviana; Grama, Lino; Soriani, Leonardo
T-duality on nilmanifolds Journal Article
Em: Journal of High Energy Physics , vol. 153, 2018.
Resumo | Links | BibTeX | Tags: T-duality
@article{nokey,
title = {T-duality on nilmanifolds},
author = {Viviana del Barco and Lino Grama and Leonardo Soriani },
url = {https://link.springer.com/article/10.1007/JHEP05(2018)153#citeas},
doi = {https://doi.org/10.1007/JHEP05(2018)153},
year = {2018},
date = {2018-05-24},
journal = {Journal of High Energy Physics },
volume = {153},
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.},
keywords = {T-duality},
pubstate = {published},
tppubtype = {article}
}
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.