blocks_3d: software for general 3d conformal blocks

Abstract We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around a crossing-symmetric configuration. It is implemen...

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Autores principales:	Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Walter Landry, David Poland, David Simmons-Duffin
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/3aa03f56e42f490f9d4aaf69e132474e
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spelling	oai:doaj.org-article:3aa03f56e42f490f9d4aaf69e132474e2021-11-08T11:16:28Zblocks_3d: software for general 3d conformal blocks10.1007/JHEP11(2021)0061029-8479https://doaj.org/article/3aa03f56e42f490f9d4aaf69e132474e2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)006https://doaj.org/toc/1029-8479Abstract We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around a crossing-symmetric configuration. It is implemented as a heavily optimized, multi-threaded, C++ application. We give performance benchmarks for correlators containing scalars, fermions, and stress tensors. As an example application, we recompute bootstrap bounds on four-point functions of fermions and study whether a previously observed sharp jump can be explained using the “fake primary” effect. We conclude that the fake primary effect cannot fully explain the jump and the possible existence of a “dead-end” CFT near the jump merits further study.Rajeev S. ErramilliLuca V. IliesiuPetr KravchukWalter LandryDavid PolandDavid Simmons-DuffinSpringerOpenarticleConformal and W SymmetryConformal Field TheoryField Theories in Higher DimensionsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-41 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Rajeev S. Erramilli Luca V. Iliesiu Petr Kravchuk Walter Landry David Poland David Simmons-Duffin blocks_3d: software for general 3d conformal blocks
description	Abstract We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around a crossing-symmetric configuration. It is implemented as a heavily optimized, multi-threaded, C++ application. We give performance benchmarks for correlators containing scalars, fermions, and stress tensors. As an example application, we recompute bootstrap bounds on four-point functions of fermions and study whether a previously observed sharp jump can be explained using the “fake primary” effect. We conclude that the fake primary effect cannot fully explain the jump and the possible existence of a “dead-end” CFT near the jump merits further study.
format	article
author	Rajeev S. Erramilli Luca V. Iliesiu Petr Kravchuk Walter Landry David Poland David Simmons-Duffin
author_facet	Rajeev S. Erramilli Luca V. Iliesiu Petr Kravchuk Walter Landry David Poland David Simmons-Duffin
author_sort	Rajeev S. Erramilli
title	blocks_3d: software for general 3d conformal blocks
title_short	blocks_3d: software for general 3d conformal blocks
title_full	blocks_3d: software for general 3d conformal blocks
title_fullStr	blocks_3d: software for general 3d conformal blocks
title_full_unstemmed	blocks_3d: software for general 3d conformal blocks
title_sort	blocks_3d: software for general 3d conformal blocks
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/3aa03f56e42f490f9d4aaf69e132474e
work_keys_str_mv	AT rajeevserramilli blocks3dsoftwareforgeneral3dconformalblocks AT lucaviliesiu blocks3dsoftwareforgeneral3dconformalblocks AT petrkravchuk blocks3dsoftwareforgeneral3dconformalblocks AT walterlandry blocks3dsoftwareforgeneral3dconformalblocks AT davidpoland blocks3dsoftwareforgeneral3dconformalblocks AT davidsimmonsduffin blocks3dsoftwareforgeneral3dconformalblocks
_version_	1718442226000855040

blocks_3d: software for general 3d conformal blocks

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