A Semidefinite Program Solver for the Conformal Bootstrap

preprint2015arXivOpen access

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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A Semidefinite Program Solver for the Conformal Bootstrap

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