T4 fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory

被引:1
作者
Lin, Hai [1 ]
机构
[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
基金
美国国家科学基金会;
关键词
RIEMANNIAN-MANIFOLDS; EXISTENCE; EQUATIONS; DUALITY; METRICS;
D O I
10.1016/j.nuclphysb.2016.06.006
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 construct a geometric model of eight-dimensional manifolds and realize them in the context of type II string theory. These eight-manifolds are constructed by non-trivial T-4 fibrations over Calabi-Yau two-folds. These give rise to eight-dimensional non-Kahler Hermitian manifolds with SU (4) structure. The eight-manifold is also a circle fibration over a seven-dimensional G(2) manifold with skew torsion. The eight-manifolds of this type appear as internal manifolds with SU (4) structure in type IIB string theory with F-3 and F-7 fluxes. These manifolds have generalized calibrated cycles in the presence of fluxes. (C) 2016 The Author(s). Published by Elsevier B.V.
引用
收藏
页码:525 / 541
页数:17
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