T-duality on nilmanifolds

被引：3

作者：

del Barco, Viviana ^{[1
,2
]}

Grama, Lino ^{[2
]}

Soriani, Leonardo ^{[2
]}

机构：

[1] Univ Nacl Rosario, CONICET, Ave Pellegrini 250, Rosario, Santa Fe, Argentina

[2] Univ Campinas UNICAMP, Dept Math, Rua Sergio Buarque de Holanda 651, Campinas, SP, Brazil

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

D-branes; Differential and Algebraic Geometry; Global Symmetries; String Duality; MIRROR SYMMETRY; TOPOLOGY; BUNDLES;

D O I：

10.1007/JHEP05(2018)153

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

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.

引用

页数：25

共 50 条

[1] T-duality on nilmanifolds
Viviana del Barco
Lino Grama
Leonardo Soriani
[J]. Journal of High Energy Physics, 2018
[2] T-duality of emergent gravities on nilmanifolds
Roychowdhury, Raju
Soriani, Leonardo
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2024, (07):
[3] Spherical T-Duality
Bouwknegt, Peter
Evslin, Jarah
Mathai, Varghese
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 337 (02) : 909 - 954
[4] Crystallographic T-duality
Gomi, Kiyonori
Thiang, Guo Chuan
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2019, 139 : 50 - 77
[5] Spherical T-Duality
Peter Bouwknegt
Jarah Evslin
Varghese Mathai
[J]. Communications in Mathematical Physics, 2015, 337 : 909 - 954
[6] T-duality and α′-corrections
Diego Marqués
Carmen A. Nuñez
[J]. Journal of High Energy Physics, 2015
[7] Potentials and T-duality
Hewson, SF
Lambert, ND
[J]. PHYSICS LETTERS B, 1997, 408 (1-4) : 201 - 206
[8] On the topology of T-duality
Bunke, U
Schick, T
[J]. REVIEWS IN MATHEMATICAL PHYSICS, 2005, 17 (01) : 77 - 112
[9] Calibrations and T-duality
Gmeiner, Florian
Witt, Frederik
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 283 (02) : 543 - 578
[10] T-duality revisited
Erik Plauschinn
[J]. Journal of High Energy Physics, 2014

← 1 2 3 4 5 →