Published November 2021 | Version Published + Submitted
Journal Article Open

blocks_3d: software for general 3d conformal blocks

  • 1. ROR icon Yale University
  • 2. ROR icon Princeton University
  • 3. ROR icon Stanford University
  • 4. ROR icon Institute for Advanced Study
  • 5. ROR icon California Institute of Technology

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.

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.

Attached Files

Published - Erramilli2021_Article_Blocks3dSoftwareForGeneral3dCo.pdf

Submitted - 2011.01959.pdf

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2011.01959.pdf

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Additional details

Identifiers

Eprint ID
106624
Resolver ID
CaltechAUTHORS:20201111-132131256

Related works

Funding

Simons Foundation
488657
Department of Energy (DOE)
DE-SC0019085
Simons Foundation
488651
Department of Energy (DOE)
DE-SC0020318
Department of Energy (DOE)
DE-SC0017660
Simons Foundation
488653
Simons Foundation
651440
Department of Energy (DOE)
DE-SC0009988
Adler Family Fund
Gordon and Betty Moore Foundation
Yale University
SCOAP3

Dates

Created
2020-11-11
Created from EPrint's datestamp field
Updated
2021-11-17
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Walter Burke Institute for Theoretical Physics , Physics Department
Other Numbering System Name
CALT-TH
Other Numbering System Identifier
2020-048