English

A Semidefinite Program Solver for the Conformal Bootstrap

High Energy Physics - Theory 2015-02-10 v1 Statistical Mechanics

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, Δσ=0.518151(6)\Delta_\sigma=0.518151(6), Δϵ=1.41264(6)\Delta_\epsilon=1.41264(6).

Cite

@article{arxiv.1502.02033,
  title  = {A Semidefinite Program Solver for the Conformal Bootstrap},
  author = {David Simmons-Duffin},
  journal= {arXiv preprint arXiv:1502.02033},
  year   = {2015}
}

Comments

34 pages, 3 figures, and 3500 lines of C++

R2 v1 2026-06-22T08:24:14.495Z