arXiv 1206.31292012-06hep-th

短算子的全息三点函数

Holographic three-point functions for short operators

Joseph A. Minahan

备注：: 24 pages; v2: References added, typos fixed, minor changes
DOI：: 10.1007/JHEP07(2012)187

摘要：

本文研究了N=4超杨-米尔斯系统中强耦合短弦态对偶算符的全息三点函数。我们把从边界进入的状态看作是点，而在体块的相互作用区域中则看作是弦。相互作用位置由鞍点决定，鞍点等价于相互作用粒子的正则动量守恒，并导致它们的共形电荷守恒。我们进一步表明，对于大尺寸的相互作用区域的均方根大小是小的相比，曲率半径的AdS空间，但仍然大相比，弦康普顿波长。因此，弦顶点算子可以近似为具有确定动量的平坦空间顶点算子，这取决于算子的共形荷和R荷。然后我们认为，通过满足Q^L=Q^R的扭曲版本（直到虚假项）来选择与原算子对偶的弦顶点算子。这导致了一个独特的选择，为标量顶点运营商与适当的收费在第一大规模的水平。然后，我们评论相应的三点函数的一些功能，包括应用这些结果的小西运营商。

英文摘要：

We consider holographic three-point functions for operators dual to short string states at strong coupling in N=4 super Yang-Mills. We treat the states as point-like as they come in from the boundary but as strings in the interaction region in the bulk. The interaction position is determined by saddle point, which is equivalent to conservation of the canonical momentum for the interacting particles, and leads to conservation of their conformal charges. We further show that for large dimensions the rms size of the interaction region is small compared to the radius of curvature of the AdS space, but still large compared to the string Compton wave-length. Hence, one can approximate the string vertex operators as flat-space vertex operators with a definite momentum, which depends on the conformal and R-charges of the operator. We then argue that the string vertex operator dual to a primary operator is chosen by satisfying a twisted version of Q^L=Q^R, up to spurious terms. This leads to a unique choice for a scalar vertex operator with the appropriate charges at the first massive level. We then comment on some features of the corresponding three-point functions, including the application of these results to Konishi operators.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文