Natural curvature for manifest T-duality
Natural curvature for manifest T-duality
复制标题
明显 T 对偶性的自然曲率
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
W. Siegel
中科院分区：
文献类型：
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作者：
M. Polacek;W. Siegel
我们直接从陪集空间Poincaré/Lorentz的(左和右)仿射李代数的几何出发，重新表述了闭玻色弦的无质量部分的明显的T-对偶描述。这种结构最初不仅将平移的(时空)坐标加倍，还将洛伦兹变换的坐标(及其“对偶”)加倍。因此，Lorentz连接直接耦合到字符串(就像vielbein一样)，而不是像以前那样临时引入协变导数。这不仅复制了T-对偶扭转的旧定义，而且自动给出了T-对偶曲率的一般协变定义(但仍有一些未确定的联系)。
A bstractWe reformulate the manifestly T-dual description of the massless sector of the closed bosonic string, directly from the geometry associated with the (left and right) affine Lie algebra of the coset space Poincaré/Lorentz. This construction initially doubles not only the (spacetime) coordinates for translations but also those for Lorentz transformations (and their “dual”). As a result, the Lorentz connection couples directly to the string (as does the vielbein), rather than being introduced ad hoc to the covariant derivative as previously. This not only reproduces the old definition of T-dual torsion, but automatically gives a general, covariant definition of T-dual curvature (but still with some undetermined connections).