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arXiv 1508.04764hep-th
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论定域性、全息性与展开

On Locality, Holography and Unfolding

E. D. Skvortsov, Massimo Taronna

摘要:

我们研究的背景下,更高的自旋理论和瓦西里耶夫方程的功能类和局部性问题。本文提出了一个局部性判据,它足以使高自旋理论在Anti-de-Sitter空间上被定义为场论。这个标准确定容许的伪局部字段的重新定义,保持AdS/CFT关联函数,因为我们检查在3D的例子。这种分析已知的高自旋理论的影响进行了讨论。我们还检查了先前在3d中在作用水平上固定的立方耦合系数在计算相应的Witten图时给出了正确的CFT关联函数。

英文摘要:

We study the functional class and locality problems in the context of higher-spin theories and Vasiliev's equations. A locality criterion that is sufficient to make higher-spin theories well-defined as field theories on Anti-de-Sitter space is proposed. This criterion identifies admissible pseudo-local field redefinitions which preserve AdS/CFT correlation functions as we check in the 3d example. Implications of this analysis for known higher-spin theories are discussed. We also check that the cubic coupling coefficients previously fixed in 3d at the action level give the correct CFT correlation functions upon computing the corresponding Witten diagrams.

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。

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