blocks_3d: Software for general 3d conformal blocks
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.
Cite
@article{arxiv.2011.01959,
title = {blocks_3d: Software for general 3d conformal blocks},
author = {Rajeev S. Erramilli and Luca V. Iliesiu and Petr Kravchuk and Walter Landry and David Poland and David Simmons-Duffin},
journal= {arXiv preprint arXiv:2011.01959},
year = {2021}
}
Comments
33 pages + appendices