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arXiv · 2401.10986

Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions

Sebastian Harris·Apratim Kaviraj·Jeremy A. Mann·Lorenzo Quintavalle·Volker Schomerus
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Abstract

We 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 complement previous results on triple-twist anomalous dimensions in scalar $\phi^3$ and $\phi^4$ theory at first and second order in epsilon, respectively.

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Sebastian Harris, Apratim Kaviraj, Jeremy A. Mann, Lorenzo Quintavalle, Volker Schomerus. 2024-01-19. Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions. https://arxiv.org/abs/2401.10986

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