Non-geometric backgrounds, doubled geometry and generalised T-duality
Non-geometric backgrounds, doubled geometry and generalised T-duality
复制标题
非几何背景、双重几何和广义 T 对偶性
DOI：
10.1088/1126-6708/2009/09/014
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发表时间：
2009
影响因子：
5.4
通讯作者：
R. A. Reid
中科院分区：
文献类型：
--
作者：
C. Hull;R. A. Reid
弦背景与当地环面纤维化，如T-折叠自然制定了一个双重的形式主义，其中环面纤维加倍，包括对偶坐标共轭缠绕数。在这里，我们制定和探索这个建设的推广，其中所有的坐标加倍，使加倍的空间是一个扭曲的环面，即一个紧凑的空间，从确定一个离散子群下的群流形。这包括减少与对偶扭曲，T-折叠和一类通量紧化，连同非几何背景预计将产生这些通过T-对偶。它还结合了背景，甚至不是局部几何，并建议推广的T-对偶更一般的情况下。我们讨论了有效场论产生这样一个内部部门，给出了一个世界表西格玛模型制定的弦理论在这样的背景下，并说明我们的讨论与详细的例子。
String backgrounds with a local torus fibration such as T-folds are naturally formulated in a doubled formalism in which the torus fibres are doubled to include dual coordinates conjugate to winding number. Here we formulate and explore a generalisation of this construction in which all coordinates are doubled, so that the doubled space is a twisted torus, i.e. a compact space constructed from identifying a group manifold under a discrete subgroup. This incorporates reductions with duality twists, T-folds and a class of flux compactifications, together with the non-geometric backgrounds expected to arise from these through T-duality. It also incorporates backgrounds that are not even locally geometric, and suggests a generalisation of T-duality to a more general context. We discuss the effective field theory arising from such an internal sector, give a world-sheet sigma model formulation of string theory on such backgrounds and illustrate our discussion with detailed examples.