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arXiv 1304.5652hep-th
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N=2规范理论中的定域和全息

Localization and holography in N=2 gauge theories

Alex Buchel

摘要:

我们将S^4上SU(N)N=2^* 规范理论的佩斯顿定域化的精确结果与现有的全息模型进行了比较。虽然局部化可以解释全息Pilch-Warner流的库仑分支真空,但它不同意N=2超级杨-米尔斯理论的全息Gauntlett真空。et.al我们进一步计算了S^4上的Pilch-Warner流的自由能,并证明了在有限的S^4半径和S^4解压缩极限下,它与局部化结果不一致。因此,这两个模型都不能代表佩斯通超对称S^4局域化的全息对偶。

英文摘要:

We compare exact results from Pestun's localization of SU(N) N=2^* gauge theory on S^4 with available holographic models. While localization can explain the Coulomb branch vacuum of the holographic Pilch-Warner flow, it disagrees with the holographic Gauntlett et.al vacuum of N=2 super Yang-Mills theory. We further compute the free energy of the Pilch-Warner flow on S^4 and show that it disagrees with the localization result both for a finite S^4 radius, and in the S^4 decompactification limit. Thus, neither model represents holographic dual of supersymmetric S^4 localization of Pestun.

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