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 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.
- Research Organization:
- Institute for Advanced Study, Princeton, NJ (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC); Simons Foundation
- Grant/Contract Number:
- SC0009988; SC0020318; SC0017660; 488653; 651440
- OSTI ID:
- 1879862
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2021, Issue 11; ISSN 1029-8479
- Publisher:
- Springer NatureCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Similar Records
Resurgence, conformal blocks, and the sum over geometries in quantum gravity
Recursion relation for general 3d blocks