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 32 条

[1] Albertsson C, 2004, J HIGH ENERGY PHYS
[2] AN INTRODUCTION TO T-DUALITY IN STRING THEORY
ALVAREZ, E
ALVAREZGAUME, L
LOZANO, Y
[J]. NUCLEAR PHYSICS B, 1995, : 1 - 20
[3] A CANONICAL APPROACH TO DUALITY TRANSFORMATIONS
ALVAREZ, E
ALVAREZGAUME, L
LOZANO, Y
[J]. PHYSICS LETTERS B, 1994, 336 (02) : 183 - 189
[4] ALVAREZGAUME L, 1993, CERNTH703693
[5] Mirror symmetry and generalized complex manifolds - Part I. The transform on vector bundles, spinors, and branes
Ben-Bassat, O
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (04) : 533 - 558
[6] Generalized complex geometry and the Poisson Sigma model
Bergamin, L
[J]. MODERN PHYSICS LETTERS A, 2005, 20 (13) : 985 - 995
[7] T-duality:: Topology change from H-flux
Bouwknegt, P
Evslin, J
Mathai, V
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 249 (02) : 383 - 415
[8] Bouwknegt P, 2004, J HIGH ENERGY PHYS
[9] Bredthauer A, 2006, J HIGH ENERGY PHYS
[10] BREDTHAUER A, GEN HYPERKAHLER GEOM

← 1 2 3 4 →