A semidefinite program solver for the conformal bootstrap
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 ɛ = 1.41264(6).
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- June 2015
- DOI:
- arXiv:
- arXiv:1502.02033
- Bibcode:
- 2015JHEP...06..174S
- Keywords:
-
- Conformal and W Symmetry;
- Field Theories in Lower Dimensions;
- High Energy Physics - Theory;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 34 pages, 3 figures, and 3500 lines of C++