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blocks_3d: software for general 3d conformal blocks

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [5];  [4]
  1. Yale Univ., New Haven, CT (United States); Institute for Advanced Study
  2. Princeton Univ., NJ (United States); Stanford Univ., CA (United States)
  3. Institute for Advanced Study, Princeton, NJ (United States)
  4. California Institute of Technology (CalTech), Pasadena, CA (United States)
  5. Yale Univ., New Haven, CT (United States)
+ Show Author Affiliations
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:
Simons Foundation; USDOE Office of Science (SC)
Grant/Contract Number:
SC0009988; SC0017660; SC0020318
OSTI ID:
1879862
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2021; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Conformal Field Theory
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