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Analytic bootstrap for logarithmic CFT
Tata Inst Fundamental Res, Int Ctr Theoret Sci, Bengaluru 560089, India;Indian Inst Technol Kanpur, Kanpur 208016, Uttar Pradesh, India.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 12, article id 114Article in journal (Refereed) Published
Abstract [en]

We study logarithmic conformal field theory (LogCFT) in four dimensions using conformal bootstrap techniques in the large spin limit. We focus on the constraints imposed by conformal symmetry on the four point function of certain logarithmic scalar operators and compute the leading correction to the anomalous dimension of double trace operators in the large spin limit. There exist certain holographic duals to such LogCFTs, which involve higher derivative equations of motion. The anomalous dimension is related to the binding energy of a state where two scalars rotate around each other with a large angular momentum. We compute this energy shift and compare it to the anomalous dimension of the large spin double trace operators due to stress tensor exchange in the LogCFT. Our result shows that the cluster decomposition principle is satisfied for LogCFTs as long as the dimensions of the operators are positive.

Place, publisher, year, edition, pages
2019. no 12, article id 114
Keywords [en]
Conformal Field Theory, Gauge-gravity correspondence
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-407433DOI: 10.1007/JHEP12(2019)114ISI: 000513632700001OAI: oai:DiVA.org:uu-407433DiVA, id: diva2:1417082
Funder
Knut and Alice Wallenberg Foundation, KAW 2016.0129Max Planck Society, MAXPLA/PHY/2018577Available from: 2020-03-26 Created: 2020-03-26 Last updated: 2020-03-26Bibliographically approved

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Dey, Parijat

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