Quantization of flag manifolds and their supersymmetric extensions
Quantization of flag manifolds and their supersymmetric extensions
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标志流形的量化及其超对称扩展
DOI：
10.4310/atmp.2008.v12.n3.a5
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发表时间：
2006
影响因子：
1.5
通讯作者：
Christian Saemann
中科院分区：
文献类型：
--
作者：
S. Murray;Christian Saemann
我们首先回顾了用Plucker坐标和相干态描述旗形流形。使用这种描述，我们构建模糊版本的代数功能在这些空间中的操作和星星产品的语言。我们的主要重点是在这里旗流形出现在双纤维化的基础上最常见的扭量对应。在将Plucker描述推广到某些超对称情形之后，我们还得到了一些模糊旗超流形上的函数的变形代数。特别是，模糊版本的Calabi-Yau超流形被发现。
We first review the description of flag manifolds in terms of Plucker coordinates and coherent states. Using this description, we construct fuzzy versions of the algebra of functions on these spaces in both operatorial and star product language. Our main focus is here on flag manifolds appearing in the double fibration underlying the most common twistor correspondences. After extending the Plucker description to certain supersymmetric cases, we also obtain the appropriate deformed algebra of functions on a number of fuzzy flag supermanifolds. In particular, fuzzy versions of Calabi-Yau supermanifolds are found.