JuliBootS: a hands-on guide to the conformal bootstrap

Abstract

We introduce {\tt JuliBootS}, a package for numerical conformal bootstrap computations coded in {\tt Julia}. The centre-piece of {\tt JuliBootS} is an implementation of Dantzig's simplex method capable of handling arbitrary precision linear programming problems with continuous search spaces. Current supported features include conformal dimension bounds, OPE bounds, and bootstrap with or without global symmetries. The code is trivially parallelizable on one or multiple machines. We exemplify usage extensively with several real-world applications. In passing we give a pedagogical introduction to the numerical bootstrap methods.

arXiv comment29 pages

References in corpus (18)

• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Bootstrapping the O(N) Vector Models
• Spinning Conformal Blocks
• OPE Convergence in Conformal Field Theory
• Bounds on 4D Conformal and Superconformal Field Theories
• Bootstrapping Conformal Field Theories with the Extremal Functional Method
• Radial Coordinates for Conformal Blocks
• The $(2,0)$ superconformal bootstrap
• Universal Constraints on Conformal Operator Dimensions
• Conformal Partial Waves: Further Mathematical Results
• Bounds in 4D Conformal Field Theories with Global Symmetry
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Conformal Field Theories in Fractional Dimensions
• Central Charge Bounds in 4D Conformal Field Theory
• Diagonal Limit for Conformal Blocks in d Dimensions
• Conformal Blocks for Arbitrary Spins in Two Dimensions

Cited by in corpus (28)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• The $(2,0)$ superconformal bootstrap
• The S-matrix Bootstrap II: Two Dimensional Amplitudes
• Bootstrapping SCFTs with Four Supercharges
• Spinning Witten Diagrams
• Projectors and seed conformal blocks for traceless mixed-symmetry tensors
• Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap
• Eikonalization of Conformal Blocks
• Radial expansion for spinning conformal blocks
• PyCFTBoot: A flexible interface for the conformal bootstrap
• Bootstrapping Mixed Correlators in the Five Dimensional Critical O(N) Models
• A Semidefinite Program Solver for the Conformal Bootstrap
• Casimir recursion relations for general conformal blocks
• Non-Abelian Binding Energies from the Lightcone Bootstrap
• Scalar CFTs and Their Large N Limits
• Recursion relation for general 3d blocks
• Inverse Bootstrapping Conformal Field Theories
• Conformal bootstrap for percolation and polymers
• Extremal bootstrapping: go with the flow
• New method for the conformal bootstrap with OPE truncations
• Conformal Bootstrap Signatures of the Tricritical Ising Universality Class
• Bounding 3d CFT correlators
• Conformal Two-Point Correlation Functions from the Operator Product Expansion
• Topologically twisted renormalization group flow and its holographic dual
• General Bootstrap Equations in 4D CFTs
• Charging Up the Functional Bootstrap
• Crossing, Modular Averages and $N\leftrightarrow k$ in WZW Models
• Bootstrap Method in Theoretical Physics