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blocks_3d: software for general 3d conformal blocks

Erramilli, Rajeev S. and Iliesiu, Luca V. and Kravchuk, Petr and Landry, Walter and Poland, David and Simmons-Duffin, David (2021) blocks_3d: software for general 3d conformal blocks. Journal of High Energy Physics, 2021 (11). Art. No. 6. ISSN 1126-6708. doi:10.1007/JHEP11(2021)006.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Iliesiu, Luca V.0000-0001-7567-7516
Kravchuk, Petr0000-0003-0977-3686
Poland, David0000-0003-3854-2430
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© The Authors. 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. Article funded by SCOAP3. Received: February 9, 2021; Accepted: September 3, 2021; Published: November 2, 2021. We thank Soner Albayrak, Zhijin Li, and Emilio Trevisani for discussions. WL and DSD are supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap). DSD is also supported by a DOE Early Career Award under grant DE-SC0019085. DP is supported by Simons Foundation grant 488651 (Simons Collaboration on the Nonperturbative Bootstrap) and DOE grants DE-SC0020318 and DESC0017660. LVI is supported in part by the Simons Collaboration on the Nonperturbative Bootstrap, a Simons Foundation Grant with No. 488653, and by the Simons Collaboration on Ultra-Quantum Matter, a Simons Foundation Grant with No. 651440. PK is supported by DOE grant DE-SC0009988 and the Adler Family Fund at the Institute for Advanced Study. Computations in this work were performed on the Caltech High Performance Cluster, partially supported by a grant from the Gordon and Betty Moore Foundation, on the Yale Grace computing cluster, supported by the facilities and staff of the Yale University Faculty of Sciences High Performance Computing Center, and on the Institute for Advanced Study Helios cluster.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488657
Department of Energy (DOE)DE-SC0019085
Simons Foundation488651
Department of Energy (DOE)DE-SC0020318
Department of Energy (DOE)DE-SC0017660
Simons Foundation488653
Simons Foundation651440
Department of Energy (DOE)DE-SC0009988
Adler Family FundUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Yale UniversityUNSPECIFIED
Subject Keywords:Conformal and W Symmetry, Conformal Field Theory, Field Theories in Higher Dimensions
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Other Numbering System NameOther Numbering System ID
Issue or Number:11
Record Number:CaltechAUTHORS:20201111-132131256
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Official Citation:Erramilli, R.S., Iliesiu, L.V., Kravchuk, P. et al. blocks_3d: software for general 3d conformal blocks. J. High Energ. Phys. 2021, 6 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106624
Deposited By: Joy Painter
Deposited On:11 Nov 2020 23:21
Last Modified:17 Nov 2021 23:16

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