R-SYMMETRIES, Algebraic Geometry, and AdS/CFT
R-SYMMETRIES, Algebraic Geometry, and AdS/CFT
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R-SYMMETRIES、代数几何和 AdS/CFT
DOI：
10.1142/9789812775344_0038
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
A. Ritz
中科院分区：
文献类型：
--
作者：
A. Ritz
本文研究了N=1超对称规范理论中的中心荷流，其中N = 1的超对称规范理论允许大的N超引力项。对于位于共形窗口的理论，超对称性将这种演化与R-电荷的重整化联系起来，并且在许多情况下，可以利用沿流沿着的守恒U（1）S流从对偶几何中提取这种信息。特别是，我们认为，这些费用纯粹是由复杂的结构的6维流形横向的D-膜的来源的几何形状。我们证明了这种关系在一类Ak orbifolds和广义conifolds之间的流。
We study the flow of central charges in N=1 supersymmetric gauge theories which admit large N supergravity duals. For theories lying in the conformal window, supersymmetry relates this evolution to a renormalization of the R-charges, and this information can, in many cases, be extracted from the dual geometry making use of the conserved U(1)S current along the flow. In particular, we argue that these charges are determined purely by the complex structure of the 6-dimensional manifold transverse to the D-branes which source the geometry. We demonstrate this relationship in a class of flows between Ak orbifolds and generalized conifolds.