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The analytic bootstrap and AdS superhorizon locality

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Fitzpatrick, A. Liam, Kaplan, Jared, Poland, David, Simmons-Duffin, David·2013·Journal of High Energy Physics

Abstract

A bstractWe take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of d > 2 dimensional CFTs in an Eikonal-type limit, where the conformal cross ratios satisfy |u| ≪ |υ| < 1. We prove that every CFT with a scalar operator ϕ must contain infinite sequences of operators $ {{\mathcal{O}}_{{\tau, \ell }}} $ with twist approaching τ → 2Δϕ + 2n for each integer n as ℓ → ∞. We show how the rate of approach is controlled by the twist and OPE coefficient of the leading twist operator in the ϕ × ϕ OPE, and we discuss SCFTs and the 3d Ising Model as examples. Additionally, we show that the OPE coefficients of other large spin operators appearing in the OPE are bounded as ℓ → ∞. We interpret these results as a statement about superhorizon locality in AdS for general CFTs.

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Metadata

Authors
Fitzpatrick, A. L., Kaplan, J., Poland, D., & Simmons-Duffin, D.
Venue
Journal of High Energy Physics
Published
2013-12
Volume
2013
Issue
12
ISSN
1029-8479 (ISSN-L)
OpenAlex
W2064246484
Cited by
513
References
4
FWCI
15.01
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: The analytic bootstrap and AdS superhorizon locality. https://app.cochat.ai/papers/10.1007/jhep12(2013)004
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Fitzpatrick, A. L., Kaplan, J., Poland, D., & Simmons-Duffin, D. (2013). The analytic bootstrap and AdS superhorizon locality. Journal of High Energy Physics. https://doi.org/10.1007/jhep12(2013)004

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