On Twistors and Conformal Field Theories from Six Dimensions
On Twistors and Conformal Field Theories from Six Dimensions
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DOI：
10.1063/1.4769410
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发表时间：
2011-11
期刊：
影响因子：
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通讯作者：
Christian Saemann;Martin Wolf
中科院分区：
文献类型：
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作者：
Christian Saemann;Martin Wolf
本文从两层时空的观点讨论了六维时空中的手征零静止质量场方程。具体地说，我们提出了一个详细的上同调分析，开发的Penrose和Penrose-Ward变换，并分析相应的轮廓积分公式。给出扭量空间作用原理。然后，我们减少六维时空的扭量空间的维度，以获得各种理论在较低维度的扭量配方。除了著名的扭量空间，我们还发现了一个新的扭量空间之间的这些减少，这原来是适合的twistorial描述的自对偶字符串。对于这些约化的扭量空间，我们解释了彭罗斯变换和彭罗斯-沃德变换以及轮廓积分公式。
We discuss chiral zero-rest-mass field equations on six-dimensional space-time from a twistorial point of view. Specifically, we present a detailed cohomological analysis, develop both Penrose and Penrose-Ward transforms, and analyse the corresponding contour integral formulae. We also give twistor space action principles. We then dimensionally reduce the twistor space of six-dimensional space-time to obtain twistor formulations of various theories in lower dimensions. Besides well-known twistor spaces, we also find a novel twistor space amongst these reductions, which turns out to be suitable for a twistorial description of self-dual strings. For these reduced twistor spaces, we explain the Penrose and Penrose-Ward transforms as well as contour integral formulae.