The spacetime of double field theory: Review, remarks, and outlook
The spacetime of double field theory: Review, remarks, and outlook
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DOI：
10.1002/prop.201300024
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发表时间：
2013-09
期刊：
影响因子：
--
通讯作者：
O. Hohm;D. Lust;B. Zwiebach
中科院分区：
文献类型：
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作者：
O. Hohm;D. Lust;B. Zwiebach
我们回顾了双场论（DFT），重点是双时空及其广义坐标变换，它统一了双态射和B-场规范变换。我们说明了如何组成的广义坐标变换未能关联。此外，在降维中，域的O（d，d）T-对偶变换可以作为广义的非同态得到。限制在半维子空间，DFT包括“广义几何”，但更一般的是，双空间的局部补丁可以用广义坐标变换粘合在一起。事实上，我们证明了对于某些具有非几何通量的T重背景，存在广义坐标变换，作为DFT的规范对称性，它们诱导了必要的O（d，d; n）单值变换。最后，我们回顾最近的结果DFT的α′扩展，减少到半维子空间，产生有趣的修改的基本结构的广义几何。
We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b‐field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T‐duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half‐dimensional subspace, DFT includes ‘generalized geometry’, but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T‐fold backgrounds with non‐geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;ℤ) monodromy transformations. Finally we review recent results on the α′ extension of DFT which, reduced to the half‐dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry.