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. Bae, Jin-Beom; Lee, Sungjay; Song, Jaewon: Modular constraints on superconformal field theories (2019)
  2. Cappelli, Andrea; Maffi, Lorenzo; Okuda, Satoshi: Critical Ising model in varying dimension by conformal bootstrap (2019)
  3. Kos, Filip; Oh, Jihwan: 2d small N=4 long-multiplet superconformal block (2019)
  4. Agmon, Nathan B.; Chester, Shai M.; Pufu, Silviu S.: Solving M-theory with the conformal bootstrap (2018)
  5. Apolo, Luis; Song, Wei: Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms (2018)
  6. Baggio, Marco; Bobev, Nikolay; Chester, Shai M.; Lauria, Edoardo; Pufu, Silviu S.: Decoding a three-dimensional conformal manifold (2018)
  7. Chang, Chi-Ming; Fluder, Martin; Lin, Ying-Hsuan; Wang, Yifan: Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey (2018)
  8. Chester, Shai M.; Iliesiu, Luca V.; Mezei, Márk; Pufu, Silviu S.: Monopole operators in U(1) Chern-Simons-matter theories (2018)
  9. Collier, Scott; Kravchuk, Petr; Lin, Ying-Hsuan; Yin, Xi: Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ (2018)
  10. Collier, Scott; Lin, Ying-Hsuan; Yin, Xi: Modular bootstrap revisited (2018)
  11. Cuomo, Gabriel Francisco; Karateev, Denis; Kravchuk, Petr: General bootstrap equations in 4D CFTs (2018)
  12. Dyer, Ethan; Fitzpatrick, A. Liam; Xin, Yuan: Constraints on flavored 2d CFT partition functions (2018)
  13. Dymarsky, Anatoly; Kos, Filip; Kravchuk, Petr; Poland, David; Simmons-Duffin, David: The 3d stress-tensor bootstrap (2018)
  14. El-Showk, Sheer; Paulos, Miguel F.: Extremal bootstrapping: go with the flow (2018)
  15. Gliozzi, Ferdinando: Anomalous dimensions of spinning operators from conformal symmetry (2018)
  16. Iliesiu, Luca; Koloğlu, Murat; Mahajan, Raghu; Perlmutter, Eric; Simmons-Duffin, David: The conformal bootstrap at finite temperature (2018)
  17. Isachenkov, Mikhail; Schomerus, Volker: Integrability of conformal blocks. I: Calogero-Sutherland scattering theory (2018)
  18. Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David: Weight shifting operators and conformal blocks (2018)
  19. Kravchuk, Petr: Casimir recursion relations for general conformal blocks (2018)
  20. Kusuki, Yuya: New properties of large-(c) conformal blocks from recursion relation (2018)

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