Year: 2023
Type: preprint
Abstract: We consider a conformal field theory in the presence of a boundary, and explain how two-point correlators of mixed bulk-local operators can be bootstrapped by exploiting the analytical structure of the conformal blocks. This yields the operator product expansion coefficients in either bootstrap channel. We apply this bootstrap technique to an $O(N)$-model in $d = 4 - ε$ dimensions to find the $ϕ- ϕ^5$ bulk correlator and the corresponding operator product expansion coefficients upto $\mathcal{O}(ε)$. Parts of this paper was first presented in my thesis.
Source: arXiv (Cornell University)
Author: Rousu, Alexander Söderberg
Institution: Uppsala University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4362679308