Matthijs Hogervorst
Crossing symmetry in alpha space
Hogervorst, Matthijs; van Rees, Balt C.
Authors
Balt C. van Rees
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.
Citation
Hogervorst, M., & van Rees, B. C. (2017). Crossing symmetry in alpha space. Journal of High Energy Physics, 2017(11), Article 193. https://doi.org/10.1007/jhep11%282017%29193
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 16, 2017 |
Online Publication Date | Nov 28, 2017 |
Publication Date | Nov 28, 2017 |
Deposit Date | Dec 13, 2017 |
Publicly Available Date | Dec 13, 2017 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Electronic ISSN | 1029-8479 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2017 |
Issue | 11 |
Article Number | 193 |
DOI | https://doi.org/10.1007/jhep11%282017%29193 |
Public URL | https://durham-repository.worktribe.com/output/1369771 |
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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