4.4 Article

Heavy-light bootstrap from Lorentzian inversion formula

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -

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SPRINGER
DOI: 10.1007/JHEP07(2020)046

关键词

Conformal Field Theory; Field Theories in Higher Dimensions

资金

  1. NSFC (National Natural Science Foundation of China) [11935009, 11875200]

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We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central chargeC(T)-> infinity. We implement the Lorentzian inversion formula back and forth to reveal the universality of the lowest-twist multi-stress-tensorT(k)as well as large spin double-twist operators [OHOL](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 ind= 4 up to the triple-stress- tensor. Moreover, general dimensional heavy-light bootstrap up to the double-stress-tensor is also discussed, and we present an infinite series representation of the lowest-twist double- stress-tensor OPE coefficient. Exact expressions of lowest-twist double-stress-tensor OPE coefficients ind= 6,8,10 are also obtained as further examples.

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