The five-point bootstrap

Understand

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 $\langle \sigma \sigma \epsilon \sigma \sigma \rangle$ 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 $\Delta \leqslant \Delta_{\rm cutoff}$.