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A semidefinite program solver for the conformal bootstrap

2015/06/01 by David Simmons–Duffin · 8 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Advanced Optimization Algorithms Research #Markov Chains and Monte Carlo Methods #Conformal map #Solver #Physics #Computation #Semidefinite programming #Operator (biology) #Ising model #Applied mathematics #Semidefinite embedding #Computational science #Algorithm #Computer science #Statistical physics #Mathematical analysis #Mathematical optimization #Mathematics #Quadratically constrained quadratic program #Programming language

paper · pdf · doi:10.1007/jhep06(2015)174

openalex publication_date 2015/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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).

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