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000601585 1001_ $$0P:(DE-H253)PIP1102307$$aHarris, Sebastian$$b0$$udesy
000601585 245__ $$aComb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions
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000601585 500__ $$a83 pages, 6 figures
000601585 520__ $$aWe advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-twist operators at large spin. In contrast to the well-studied double-twist operators, triple-twist primaries are highly degenerate so that their anomalous dimension is encoded in a matrix. At large spin, the degeneracy becomes infinite and the matrix becomes an integral operator. We compute this integral operator by studying a particular non-planar crossing equation for six-point functions of scalar operators in a lightcone limit. The bootstrap analysis is based on new formulas for six-point lightcone blocks in the comb-channel. For a consistency check of our results, we compare them to perturbative computations in the epsilon expansion of $\phi^3$ and $\phi^4$ theory. In both cases, we find perfect agreement between perturbative results and bootstrap predictions. As a byproduct of our studies, we extend earlier work of Derkachov and Manashov to compute the anomalous dimension matrices of all triple-twist primaries in scalar $\phi^3$ and $\phi^4$ theory to first and second order in epsilon, respectively.
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000601585 7001_ $$0P:(DE-H253)PIP1094539$$aKaviraj, Apratim$$b1$$udesy
000601585 7001_ $$aMann, Jeremy A.$$b2
000601585 7001_ $$0P:(DE-H253)PIP1086632$$aQuintavalle, Lorenzo$$b3$$eCorresponding author$$udesy
000601585 7001_ $$0P:(DE-H253)PIP1004538$$aSchomerus, Volker$$b4$$udesy
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