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arXiv · 2011.01959

blocks_3d: Software for general 3d conformal blocks

Rajeev S. Erramilli·Luca V. Iliesiu·Petr Kravchuk·Walter Landry·David Poland·David Simmons-Duffin
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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.

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Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Walter Landry, David Poland, David Simmons-Duffin. 2020-11-03. blocks_3d: Software for general 3d conformal blocks. https://doi.org/10.1007/jhep11(2021)006

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