A Higher Performance Conformal Bootstrap: Improvements on \emph{SDPB} and an Application to the \(O(2)\) Model

Abstract

In this paper, I present a new, optimized version of the Semidefinite Programming tool \emph{SDPB} used by much of the Conformal Bootstrap community. Before delving into the details of the implementation and performance results, I present a brief history and introduction the bootstrap. I apply the new tool to small and medium test problems, and construct, calculate, and run tests on a large problem, the \(O(2)\) model. I present a performance improvement of nearly a factor of 2, as well as lay the groundwork for future improvements.