A semidefinite program solver for the conformal bootstrap

@article{SimmonsDuffin2015ASP,
  title={A semidefinite program solver for the conformal bootstrap},
  author={D. Simmons-Duffin},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2015},
  pages={1-31}
}
  • D. Simmons-Duffin
  • Published 2015
  • Physics
  • Journal of High Energy Physics
  • A bstractWe 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, Δσ = 0.518151(6), Δϵ = 1.41264(6). 
    223 Citations

    Figures and Tables from this paper.

    PyCFTBoot: A flexible interface for the conformal bootstrap
    • 36
    • Highly Influenced
    • PDF
    Scaling the semidefinite program solver SDPB
    • 23
    • PDF
    General bootstrap equations in 4D CFTs
    • 44
    • PDF
    A tauberian theorem for the conformal bootstrap
    • 87
    • PDF
    Bootstrapping 3D fermions
    • 66
    • PDF
    Inverse bootstrapping conformal field theories
    • 10
    • PDF
    Fermion conformal bootstrap in 4d
    • 24
    • Highly Influenced
    • PDF

    References

    SHOWING 1-10 OF 90 REFERENCES
    JuliBootS: a hands-on guide to the conformal bootstrap
    • 56
    • PDF
    Bootstrapping 3D fermions
    • 66
    • PDF
    Constraints on 2d CFT partition functions
    • 79
    • Highly Influential
    • PDF
    Projectors, shadows, and conformal blocks
    • 203
    • PDF
    Bootstrapping mixed correlators in the 3D Ising model
    • 241
    • PDF
    Carving out the space of 4D CFTs
    • 245
    • PDF