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A semidefinite program solver for the conformal bootstrap

David Simmons–Duffin (Institute for Advanced Study)

Journal of High Energy Physics
DOI: 10.1007/jhep06(2015)174 (Physics and Astronomy)
License: CC BY

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, Δ σ = 0.518151(6), Δ ϵ = 1.41264(6).

Published on 01 Jun. 2015