| Full text | |
| Author(s): |
del Barco, Viviana
;
Grama, Lino
;
Soriani, Leonardo
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of High Energy Physics; v. N/A, n. 5, p. 25-pg., 2018-05-24. |
| 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. (AU) | |
| FAPESP's process: | 15/23896-5 - Invariant structures on real flag manifolds |
| Grantee: | Viviana Jorgelina Del Barco |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 17/13725-4 - Locally conformal geometry on flag manifolds |
| Grantee: | Viviana Jorgelina Del Barco |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 16/22755-1 - Topics on geometry of homogeneous spaces |
| Grantee: | Lino Anderson da Silva Grama |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/10937-5 - Generalized complex geometry on homogeneous spaces, T-duality and applications to mirror symmetry |
| Grantee: | Leonardo Soriani Alves |
| Support Opportunities: | Scholarships in Brazil - Doctorate |