Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2020)075
Keywords
Conformal Field Theory; AdS-CFT Correspondence
Categories
Funding
- Universite Libre de Bruxelles
- University of Naples Federico II
- European Union [747228, 793661]
- program Rita Levi Montalcini of the MIUR (Minister for Instruction, University and Research)
- INFN initiative STEFI
- Princeton University
- Marie Curie Actions (MSCA) [793661, 747228] Funding Source: Marie Curie Actions (MSCA)
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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.
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