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  Universality at large transverse spin in defect CFT

Lemos, M., Liendo, P., Meineri, M., & Sarkar, S. (2018). Universality at large transverse spin in defect CFT. Journal of high energy physics: JHEP, 2018(09): 091. doi:10.1007/JHEP09(2018)091.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-BF1A-D Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F671-9
Genre: Journal Article

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 Creators:
Lemos, Madalena, Author
Liendo, Pedro, Author
Meineri, Marco, Author
Sarkar, Sourav1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: 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. Analyticity of the formula in $s$ implies that the scaling dimensions of the defect operators are aligned in Regge trajectories $\widehat{\Delta}(s)$. 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.

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 Dates: 2017-12-212018
 Publication Status: Published in print
 Pages: 43 pages, 6 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1712.08185
URI: http://arxiv.org/abs/1712.08185
DOI: 10.1007/JHEP09(2018)091
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (09) Sequence Number: 091 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002