A semidefinite program solver for the conformal bootstrap. We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite program solver, designed for the conformal bootstrap. SDPB significantly outperforms less specialized solvers and should enable many new computations. As an example application, we compute a new rigorous high-precision bound on operator dimensions in the 3d Ising CFT, Δ σ = 0.518151(6), Δ ϵ = 1.41264(6).

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  1. Li, Zhijin: Conformality and self-duality of (N_f = 2) (\mathrmQED_3) (2022)
  2. Binder, Damon J.; Chester, Shai M.; Jerdee, Max; Pufu, Silviu S.: The 3d (\mathcalN= 6) bootstrap: from higher spins to strings to membranes (2021)
  3. Bissi, Agnese; Manenti, Andrea; Vichi, Alessandro: Bootstrapping mixed correlators in (\mathcalN= 4) super Yang-Mills (2021)
  4. Caron-Huot, Simon; Mazáč, Dalimil; Rastelli, Leonardo; Simmons-Duffin, David: Dispersive CFT sum rules (2021)
  5. Caron-Huot, Simon; Mazáč, Dalimil; Rastelli, Leonardo; Simmons-Duffin, David: Sharp boundaries for the swampland (2021)
  6. Kravchuk, Petr; Qiao, Jiaxin; Rychkov, Slava: Distributions in CFT. II: Minkowski space (2021)
  7. Agmon, Nathan B.; Chester, Shai M.; Pufu, Silviu S.: The M-theory archipelago (2020)
  8. Behan, Connor; Di Pietro, Lorenzo; Lauria, Edoardo; van Rees, Balt C.: Bootstrapping boundary-localized interactions (2020)
  9. Bonifacio, James; Hinterbichler, Kurt: Bootstrap bounds on closed Einstein manifolds (2020)
  10. Burić, Ilija; Schomerus, Volker; Isachenkov, Mikhail: Conformal group theory of tensor structures (2020)
  11. Burić, Ilija; Schomerus, Volker; Sobko, Evgeny: Superconformal blocks: general theory (2020)
  12. Chester, Shai M.; Landry, Walter; Liu, Junyu; Poland, David; Simmons-Duffin, David; Su, Ning; Vichi, Alessandro: Carving out OPE space and precise O(2) model critical exponents (2020)
  13. Fortin, Jean-François; Prilepina, Valentina; Skiba, Witold: Conformal four-point correlation functions from the operator product expansion (2020)
  14. Fortin, Jean-François; Skiba, Witold: New methods for conformal correlation functions (2020)
  15. Gimenez-Grau, Aleix; Liendo, Pedro: Bootstrapping line defects in (\mathcalN= 2) theories (2020)
  16. Guerrieri, Andrea L.; Homrich, Alexandre; Vieira, Pedro: Dual S-matrix bootstrap. Part I. 2D theory (2020)
  17. Karateev, Denis; Kuhn, Simon; Penedones, João: Bootstrapping massive quantum field theories (2020)
  18. Kravchuk, Petr; Qiao, Jiaxin; Rychkov, Slava: Distributions in CFT. I: Cross-ratio space (2020)
  19. Kundu, Sandipan: A generalized Nachtmann theorem in CFT (2020)
  20. Liendo, Pedro; Linke, Yannick; Schomerus, Volker: A Lorentzian inversion formula for defect CFT (2020)

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