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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 (2020) blocks_3d: Software for general 3d conformal blocks. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20201111-132131256

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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, multithreaded, 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:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2011.01959arXivDiscussion Paper
ORCID:
AuthorORCID
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: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 DESC0019085. DP is supported by Simons Foundation grant 488651 (Simons Collaboration on the Nonperturbative Bootstrap) and DOE grants DE-SC0020318 and DE-SC0017660. 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 DESC0009988 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
Funders:
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 Foundation651440
Department of Energy (DOE)DE-SC0009988
Adler Family FundUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2020-048
Record Number:CaltechAUTHORS:20201111-132131256
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201111-132131256
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106624
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:11 Nov 2020 23:21
Last Modified:20 Nov 2020 19:29

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