A Semidefinite Program Solver for the Conformal Bootstrap
David Simmons-Duffin
School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540
Abstract
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, ∆σ = 0.518151(6), ∆ǫ = 1.41264(6).
David Simmons-Duffin
School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540
Abstract
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, ∆σ = 0.518151(6), ∆ǫ = 1.41264(6).
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