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The unique Polyakov blocks
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DOI：10.1007/JHEP11(2020)075.png)
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摘要
En 中文
In this work we present a closed form expression for Polyakov blocks in Mellin space for arbitrary spin and scaling dimensions. We provide a prescription to fix the contact term ambiguity uniquely by reducing the problem to that of fixing the contact term ambiguity at the level of cyclic exchange amplitudes - defining cyclic Polyakov blocks - in terms of which any fully crossing symmetric correlator can be decomposed. We also give another, equivalent, prescription which does not rely on a decomposition into cyclic amplitudes. We extract the OPE data of double-twist operators in the direct channel expansion of the cyclic Polyakov blocks using and extending the analysis of [1, 2] to include contributions that are non-analytic in spin. The relation between cyclic Polyakov blocks and analytic Bootstrap functionals is underlined.
Keyword:
Conformal Field Theory
AdS-CFT Correspondence
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期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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