blocks_3d: Software for general 3d conformal blocks
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...
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creator | Erramilli, Rajeev S Iliesiu, Luca V Kravchuk, Petr Landry, Walter Poland, David Simmons-Duffin, David |
description | 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. |
doi_str_mv | 10.48550/arxiv.2011.01959 |
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subjects | Correlators Fermions Mathematical analysis Physics - High Energy Physics - Theory Scalars Software Stress tensors Tensors |
title | blocks_3d: Software for general 3d conformal blocks |
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