Conformal bootstrap near the edge
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Publication:825667
DOI10.1007/JHEP10(2021)057zbMATH Open1476.81105arXiv2103.03132MaRDI QIDQ825667
Author name not available (Why is that?)
Publication date: 17 December 2021
Published in: (Search for Journal in Brave)
Abstract: We propose a bootstrap program for CFTs near intersecting boundaries which form a co-dimension 2 edge. We describe the kinematical setup and show that bulk 1-pt functions and bulk-edge 2-pt functions depend on a non-trivial cross-ratio and on the angle between the boundaries. Using the boundary OPE (BOE) with respect to each boundary, we derive two independent conformal block expansions for these correlators. The matching of the two BOE expansions leads to a crossing equation. We analytically solve this equation in several simple cases, notably for a free bulk field, where we recover Feynman-diagrammatic results by Cardy.
Full work available at URL: https://arxiv.org/abs/2103.03132
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