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 Heavy-light bootstrap from Lorentzian inversion formula Physics Department, Tianjin University, No. 135 Yaguan Road, Tianjin, China * liyuezhou@tju.edu.cn ABSTRACT 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 CT→ ∞. We implement the Lorentzian inversion formula back and forth to reveal the universality of the lowest-twist multi-stress-tensor Tk as well as large spin double-twist operators  ${\left[{\mathcal{O}}_{\mathrm{H,}}{\mathcal{O}}_{L}\right]}_{{n}^{\mathrm{\prime }},{J}^{\mathrm{\prime }}}$. 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. 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 in d = 6, 8, 10 are also obtained as further examples. 【关闭窗口】
 天津大学理学院 量子交叉研究中心   地址：天津津南区 雅观路135号 天津大学北洋园校区32楼146 Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China