Higher spin gauge theory and holography: the three-point functions
Higher spin gauge theory and holography: the three-point functions
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DOI：
10.1007/jhep09(2010)115
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发表时间：
2009-12
影响因子：
5.4
通讯作者：
S. Giombi;Xi Yin
中科院分区：
文献类型：
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作者：
S. Giombi;Xi Yin
本文计算了Vasiliev的高自旋规范理论在AdS 4中的树级三点函数，并在O（N）单重扇区中与N个无质量标量的三维自由场理论的展开子一致.这为Vasiliev理论与自由场论的对偶性提供了有力的证据，从而验证了Klebanov和Polyakov的一个猜想.我们也发现协议的临界O（N）矢量模型，当体标量场是受替代边界条件，使其对偶算子具有经典的维数为2。
In this paper we calculate the tree level three-point functi ons of Vasiliev’s higher spin gauge theory in AdS 4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O (N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the fre e field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O (N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2.