Crossing symmetry in alpha space
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Publication:1707002
DOI10.1007/JHEP11(2017)193zbMATH Open1383.81231arXiv1702.08471OpenAlexW2592707043MaRDI QIDQ1707002
Author name not available (Why is that?)
Publication date: 28 March 2018
Published in: (Search for Journal in Brave)
Abstract: We initiate the study of the conformal bootstrap using Sturm-Liouville theory, specializing to four-point functions in one-dimensional CFTs. We do so by decomposing conformal correlators using a basis of eigenfunctions of the Casimir which are labeled by a complex number alpha. This leads to a systematic method for computing conformal block decompositions. Analyzing bootstrap equations in alpha space turns crossing symmetry into an eigenvalue problem for an integral operator K. The operator K is closely related to the Wilson transform, and some of its eigenfunctions can be found in closed form.
Full work available at URL: https://arxiv.org/abs/1702.08471
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