@article { ,
title = {Crossing symmetry in alpha space},
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 α. 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.},
doi = {10.1007/jhep11(2017)193},
issn = {1126-6708},
issue = {11},
journal = {Journal of High Energy Physics},
note = {EPrint Processing Status: Full text deposited in DRO},
publicationstatus = {Published},
publisher = {Scuola Internazionale Superiore di Studi Avanzati (SISSA)},
volume = {2017},
keyword = {Centre for Particle Theory},
year = {2017},
author = {Hogervorst, Matthijs and van Rees, Balt C.}
}