T-duality and generalized complex geometry

被引：5

作者：

Persson, Jonas ^{[1
]}

机构：

[1] Uppsala Univ, Dept Theoret Phys, Box 803, SE-75108 Uppsala, Sweden

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2007年 / 03期

关键词：

sigma models; string duality; extended supersymmetry; differential and algebraic geometry;

D O I：

10.1088/1126-6708/2007/03/025

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 find the explicit T-duality transformation in the phase space formulation of the N = (1, 1) sigma model. We also show that the T-duality transformation is a symplectomorphism and it is an element of O(d, d). Further, we find the explicit T-duality transformation of a generalized complex structure in this model. We also show that the extended supersymmetry of the sigma model is preserved under the T-duality.

引用

页数：18

共 50 条

[21] Generalized Kahler structures on group manifolds and T-duality
Ang, J. P.
Driezen, Sibylle
Rocek, Martin
Sevrin, Alexander
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (05):
[22] Poisson-Lie T-duality and complex geometry in N=2 superconformal WZNW models
Parkhomenko, SE
NUCLEAR PHYSICS B, 1998, 510 (03) : 623 - 639
[23] Non-abelian T-duality, generalised geometry and holography
Macpherson, N. T.
2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES 2013 (IC-MSQUARE 2013), 2014, 490
[24] Topological T-duality via Lie algebroids and Q-flux in Poisson-generalized geometry
Asakawa, Tsuguhiko
Muraki, Hisayoshi
Watamura, Satoshi
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2015, 30 (30):
[25] T-Duality and the Exotic Chiral de Rham Complex
Andrew Linshaw
Varghese Mathai
Communications in Mathematical Physics, 2021, 385 : 1133 - 1161
[26] Crystallographic T-duality
Gomi, Kiyonori
Thiang, Guo Chuan
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 139 : 50 - 77
[27] Spherical T-Duality
Bouwknegt, Peter
Evslin, Jarah
Mathai, Varghese
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 337 (02) : 909 - 954
[28] Spherical T-Duality
Peter Bouwknegt
Jarah Evslin
Varghese Mathai
Communications in Mathematical Physics, 2015, 337 : 909 - 954
[29] T-duality and α′-corrections
Diego Marqués
Carmen A. Nuñez
Journal of High Energy Physics, 2015
[30] On the topology of T-duality
Bunke, U
Schick, T
REVIEWS IN MATHEMATICAL PHYSICS, 2005, 17 (01) : 77 - 112

← 1 2 3 4 5 →