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A tauberian theorem for the conformal bootstrap / Qiao, Jiaxin (CERN ; Ecole Normale Superieure) ; Rychkov, Slava (CERN ; Ecole Normale Superieure)
For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(2,R)-invariant correlators (also known as 1d CFTs). [...]
arXiv:1709.00008; CERN-TH-2017-176.- 2017-12-21 - 36 p. - Published in : JHEP 12 (2017) 119 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;

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Cut-touching linear functionals in the conformal bootstrap / Qiao, Jiaxin (Ecole Normale Superieure ; UPMC, Paris (main) ; CERN) ; Rychkov, Slava (Ecole Normale Superieure ; UPMC, Paris (main) ; CERN)
The modern conformal bootstrap program often employs the method of linear functionals to derive the numerical or analytical bounds on the CFT data. These functionals must have a crucial "swapping" property, allowing to swap infinite summation with the action of the functional in the conformal bootstrap sum rule. [...]
arXiv:1705.01357; CERN-PH-TH-2017-098; CERN-TH-2017-098.- 2017-06-14 - 18 p. - Published in : JHEP 06 (2017) 076 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;

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