Abstract
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image)
We 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| |[upsilon]| < 1. We prove that every CFT with a scalar operator must contain infinite sequences of operators ... with twist approaching [tau] [arrow right] 2[Delta]^sub ^ + 2n for each integer n as [arrow right] ∞. We show how the rate of approach is controlled by the twist and OPE coefficient of the leading twist operator in the × 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 [arrow right] ∞. We interpret these results as a statement about superhorizon locality in AdS for general CFTs.
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