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Journal Article
Heavy-light bootstrap from Lorentzian inversion formula
2020
Overview
A
bstract
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
→ ∞
. 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
O
H
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. 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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
