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arXiv 1104.5013hep-thhep-ph
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AdS/CFT非手征算子的反常维数

Anomalous Dimensions of Non-Chiral Operators from AdS/CFT

A. Liam Fitzpatrick, David Shih

摘要:

具有正反常维数的非手征算子在超对称模型的建立中有着有趣的应用。基于此,我们发展了一种新的方法,用于在N=1的超共形场论(SCFTs)中获得弱耦合AdS算符的非手征双迹算符的反常维数。通过AdS/CFT的哈密顿公式,我们展示了如何直接计算引力对偶中作为束缚态能量的反常维数。这简化了以前基于四点函数和OPE的方法。我们将我们的方法应用到一类有效的AdS 5超引力模型,我们发现结合能可以有任何一个符号。如果这些模型可以紫外线完成,他们将提供第一个可计算的例子,SCFT与积极的异常尺寸。

英文摘要:

Non-chiral operators with positive anomalous dimensions can have interesting applications to supersymmetric model building. Motivated by this, we develop a new method for obtaining the anomalous dimensions of non-chiral double-trace operators in N=1 superconformal field theories (SCFTs) with weakly-coupled AdS duals. Via the Hamiltonian formulation of AdS/CFT, we show how to directly compute the anomalous dimension as a bound state energy in the gravity dual. This simplifies previous approaches based on the four-point function and the OPE. We apply our method to a class of effective AdS5 supergravity models, and we find that the binding energy can have either sign. If such models can be UV completed, they will provide the first calculable examples of SCFTs with positive anomalous dimensions.

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