Defects, non-abelian t-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
Defects, non-abelian t-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
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缺陷、非阿贝尔 t 对偶性和 Ramond-Ramond 场的 Fourier-Mukai 变换
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
G. Sarkissian
中科院分区：
文献类型：
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作者：
E. Gevorgyan;G. Sarkissian
我们构造了生成非交换T-对偶的等距群的拓扑亏格。我们发现这些缺陷是由曲率对应空间上的线丛给出的，这可以被认为是Poincarè丛的曲率的非阿贝尔推广。我们证明了缺陷运动方程编码了非阿贝尔T-对偶变换。研究了这些缺陷的规范不变通量所产生的Ramond-Ramond场的傅里叶-Mukai变换。我们表明，它为计算非阿贝尔T-对偶条件下的Ramond-Ramond场的变换提供了简洁而简洁的方法。
A bstractWe construct topological defects generating non-abelian T-duality for isometry groups acting without isotropy. We find that these defects are given by line bundles on the correspondence space with curvature which can be considered as a non-abelian generalization of the curvature of the Poincarè bundle. We show that the defect equations of motion encode the non-abelian T-duality transformation. The Fourier-Mukai transform of the Ramond-Ramond fields generated by the gauge invariant flux of these defects is studied. We show that it provides elegant and compact way of computation of the transformation of the Ramond-Ramond fields under the non-abelian T-duality.