PyCFTBoot: a flexible interface for the conformal bootstrap. We introduce PyCFTBoot, a wrapper designed to reduce the barrier to entry in conformal bootstrap calculations that require semidefinite programming. Symengine and SDPB are used for the most intensive symbolic and numerical steps respectively. After reviewing the built-in algorithms for conformal blocks, we explain how to use the code through a number of examples that verify past results. As an application, we show that the multi-correlator bootstrap still appears to single out the Wilson-Fisher fixed points as special theories in dimensions between 3 and 4 despite the recent proof that they violate unitarity.

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  1. Behan, Connor; Di Pietro, Lorenzo; Lauria, Edoardo; van Rees, Balt C.: Bootstrapping boundary-localized interactions (2020)
  2. Fortin, Jean-François; Prilepina, Valentina; Skiba, Witold: Conformal four-point correlation functions from the operator product expansion (2020)
  3. Fortin, Jean-François; Skiba, Witold: New methods for conformal correlation functions (2020)
  4. Gimenez-Grau, Aleix; Liendo, Pedro: Bootstrapping line defects in (\mathcalN= 2) theories (2020)
  5. Cappelli, Andrea; Maffi, Lorenzo; Okuda, Satoshi: Critical Ising model in varying dimension by conformal bootstrap (2019)
  6. Elkhidir, Emtinan; Karateev, Denis: Scalar-fermion analytic bootstrap in 4D (2019)
  7. Erramilli, Rajeev S.; Iliesiu, Luca V.; Kravchuk, Petr: Recursion relation for general 3d blocks (2019)
  8. Cuomo, Gabriel Francisco; Karateev, Denis; Kravchuk, Petr: General bootstrap equations in 4D CFTs (2018)
  9. Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David: Weight shifting operators and conformal blocks (2018)
  10. Kravchuk, Petr: Casimir recursion relations for general conformal blocks (2018)
  11. Liendo, Pedro; Meneghelli, Carlo; Mitev, Vladimir: Bootstrapping the half-BPS line defect (2018)
  12. Stergiou, Andreas: Bootstrapping hypercubic and hypertetrahedral theories in three dimensions (2018)
  13. Behan, Connor: PyCFTBoot: a flexible interface for the conformal bootstrap (2017)
  14. Simmons-Duffin, David: The lightcone bootstrap and the spectrum of the 3d Ising CFT (2017)
  15. Costa, Miguel S.; Hansen, Tobias; Penedones, João; Trevisani, Emilio: Radial expansion for spinning conformal blocks (2016)
  16. Costa, Miguel S.; Hansen, Tobias; Penedones, João; Trevisani, Emilio: Projectors and seed conformal blocks for traceless mixed-symmetry tensors (2016)
  17. Kos, Filip; Poland, David; Simmons-Duffin, David; Vichi, Alessandro: Precision islands in the Ising and (O(N)) models (2016)