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Universality at large transverse spin in defect CFT

Lemos, Madalena
•
Liendo, Pedro
•
Meineri, Marco  
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September 17, 2018
Journal of High Energy Physics

We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of the operators under rotations in the space transverse to the defect. Our tools include a formula that inverts the bulk to defect OPE, analogous to the Caron-Huot formula for the four-point function [1]. Analyticity of the formula in s implies that the scaling dimensions of the defect operators are aligned in Regge trajectories (Delta) over cap (s). These results require the correlator of two local operators and the defect to be bounded in a certain region, a condition that we do not prove in general. We check our conclusions against examples in perturbation theory and holography, and we make specific predictions concerning the spectrum of defect operators on Wilson lines. We also give an interpretation of the large s spectrum in the spirit of the work of Alday and Maldacena [2].

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JHEP09(2018)091.pdf

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openaccess

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CC BY

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949.37 KB

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791eee5a089bb5520823f57a95f53ca0

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10-1007-JHEP09_2018_091.pdf

Type

Publisher's Version

Access type

openaccess

License Condition

CC BY

Size

949.37 KB

Format

Adobe PDF

Checksum (MD5)

791eee5a089bb5520823f57a95f53ca0

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