A Semidefinite Program Solver for the Conformal Bootstrap

2015/02/06 by Simmons-Duffin, David · 10 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1502.02033

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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• Regge trajectories for UV completions of graviton scattering from polynomial boundedness
• Quantum bootstrap for central potentials
• Conformal Bootstrap with Duality-Inspired Fusion Rule
• de Sitter no-go's for Riemann-flat manifolds and a link to semidefinite optimisation
• Bootstrapping supersymmetric (matrix) quantum mechanics
• Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero
• Accurate bootstrap bounds from optimal interpolation
• Accurate boundary bootstrap for the three-dimensional O(N) normal universality class
• Strings from Almost Nothing

Related

• Scaling the semidefinite program solver SDPB
• Weizmann Lectures on the Numerical Conformal Bootstrap
• The Effective Bootstrap
• New Developments in the Numerical Conformal Bootstrap
• Accurate bootstrap bounds from optimal interpolation