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arXiv 1209.4804hep-th
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自旋3理论的全息重整化和(A)dS3/CFT2对应

Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence

Shailesh Lal, Bindusar Sahoo

摘要:

利用全息重整化方法计算了三维反德西特时空中自旋3理论的两点关联函数。对于AdS的情况下,我们发现结果符合二维共形不变性的一般要求。在德西特的例子中,我们发现了类似的结果。通过对应力张量的分析,讨论了三点函数TWW的一致性要求,使我们的结果与AdS情形的渐近对称代数和hep-th/0106113中的de-Sitter中心荷相容.我们还讨论了为什么我们的结果很可能与以前在dS(3)中发现的高自旋理论的虚中心荷不相容。

英文摘要:

We compute the two-point correlation functions for the spin-3 theory in three dimensional (Anti-) de Sitter spacetimes by using holographic renormalisation. For the AdS case, we find results consistent with the general requirements of two-dimensional conformal invariance. In the de Sitter case, we find similar results. We discuss consistency requirements on the three point functions TWW for our results to be compatible with the asymptotic symmetry algebra for AdS case and with the de-Sitter central charge found in hep-th/0106113 by analyzing the stress-tensor. We also discuss why it is very likely that our results are not compatible with the imaginary central charge previously found for higher-spin theories in dS(3).

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