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The five-point bootstrap
DOI:10.1007/JHEP10(2023)153.png)
Abstract
En 中文
We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing a generalization of radial coordinates, using an appropriate ansatz, and perturbatively solving two quadratic Casimir differential equations. We then study five-point correlators in the critical 3d Ising model. We truncate the operator product expansions (OPEs) in the correlator by including a finite number of primary operators with conformal dimension below a cutoff Delta <= Delta(cutoff). We then compute several OPE coefficients involving epsilon and two spinning operators by demanding that the truncated correlator approximately satisfies the crossing relation.
Keywords:
Correlation Functions
Scale and Conformal Symmetries
Conformal and W Symmetry
Journal
IF:
5.5
Papers:
4.0W
Citations:
13.7W

