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2019

Heavy-light Bootstrap from Lorentzian Inversion Formula

Li, Yue-Zhou

Understand

We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central charge $C_T\rightarrow\infty$.

We implement the Lorentzian inversion formula back and forth to reveal the universality of the lowest-twist multi-stress-tensor $T^k$ as well as large spin double-twist operators $[\mathcal{O}_H\mathcal{O}_L]_{n',J'}$.
In this way, we also propose an algorithm to bootstrap the heavy-light four-point function by extracting relevant OPE coefficients and anomalous dimensions.
By following the algorithm, we exhibit the explicit results in $d=4$ up to the triple-stress-tensor.