D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades
D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades
复制标题
2 1 维规范理论和对偶级联的引力对偶中的 D 膜电荷
DOI：
10.1007/jhep01(2010)072
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发表时间：
2009
影响因子：
5.4
通讯作者：
P. Ouyang
中科院分区：
文献类型：
--
作者：
O. Aharony;Akikazu Hashimoto;S. Hirano;P. Ouyang
我们对d = 3规范理论的弦理论实现中的D-膜荷进行了系统的分析，重点是$ \mathcal{N} = 4 $超对称U（N）× U（N + M）Yang-Mills理论和$ \mathcal{N} = 3 $超对称U（N）× U（N + M）Yang-Mills-Chern-Simons理论.我们在超引力近似中使用了这些理论的膜结构和它们的对偶弦理论背景。在$ \mathcal{N} = 4 $的情况下，我们推广了以前已知的引力场的任意值的规范耦合，并提出了一个精确的引力和场论参数之间的映射。在$ \mathcal{N} = 3 $的情况下，其中（对于某些值的N和M）流到一个$ \mathcal{N} = 6 $超对称陈-西蒙斯物质理论在IR，我们认为，仔细分析的费用导致转移的值的B2场在IR解决方案的1/2，在单位，其周期是一个，相比以前的索赔。我们还建议，$ \mathcal{N} = 3 $理论可能会表现出，对于某些值的N和M，对偶级联类似的Klebanov-Strassler理论。
We perform a systematic analysis of the D-brane charges associated with string theory realizations of d = 3 gauge theories, focusing on the examples of the $ \mathcal{N} = 4 $ supersymmetric U(N) × U(N + M) Yang-Mills theory and the $ \mathcal{N} = 3 $ supersymmetric U(N) × U(N + M) Yang-Mills-Chern-Simons theory. We use both the brane construction of these theories and their dual string theory backgrounds in the supergravity approximation. In the $ \mathcal{N} = 4 $ case we generalize the previously known gravitational duals to arbitrary values of the gauge couplings, and present a precise mapping between the gravity and field theory parameters. In the $ \mathcal{N} = 3 $ case, which (for some values of N and M) flows to an $ \mathcal{N} = 6 $ supersymmetric Chern-Simons-matter theory in the IR, we argue that the careful analysis of the charges leads to a shift in the value of the B2 field in the IR solution by 1/2, in units where its periodicity is one, compared to previous claims. We also suggest that the $ \mathcal{N} = 3 $ theories may exhibit, for some values of N and M, duality cascades similar to those of the Klebanov-Strassler theory.