Abstract
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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Also at the Université Libre de Bruxelles and International Solvay Institutes, Belgium (Charlotte Sleight).
ArXiv ePrint: 1912.07998
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Sleight, C., Taronna, M. The unique Polyakov blocks. J. High Energ. Phys. 2020, 75 (2020). https://doi.org/10.1007/JHEP11(2020)075
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DOI: https://doi.org/10.1007/JHEP11(2020)075