autoboot: A generator of bootstrap equations with global symmetry

Abstract

We introduce autoboot, a Mathematica program which automatically generates mixed-correlator bootstrap equations of an arbitrary number of scalar external operators, given the global symmetry group and the representations of the operators. The output is a Python program which uses Ohtsuki's cboot which in turn uses Simmons-Duffin's sdpb. In an appendix we also discuss a simple technique to significantly reduce the time to run sdpb, which we call hot-starting.

arXiv comment27 pages, 2 figures; v2: minor typos in the sample codes fixed; v3: additional references and minor changes; The code is available at https://github.com/selpoG/autoboot/

References in corpus (37)

• Solving the 3D Ising Model with the Conformal Bootstrap
• Precision Islands in the Ising and $O(N)$ Models
• Bootstrapping the O(N) Vector Models
• EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
• Bounds on 4D Conformal and Superconformal Field Theories
• The critical exponents of the superfluid transition in He4
• Bootstrapping Conformal Field Theories with the Extremal Functional Method
• Universal Constraints on Conformal Operator Dimensions
• Bootstrapping the 3d Ising twist defect
• Bounds in 4D Conformal Field Theories with Global Symmetry
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Central Charge Bounds in 4D Conformal Field Theory
• Rigorous Limits on the Interaction Strength in Quantum Field Theory
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• Bootstrapping phase transitions in QCD and frustrated spin systems
• Five dimensional $O(N)$-symmetric CFTs from conformal bootstrap
• Bootstrapping SCFTs with Four Supercharges
• The 3d Stress-Tensor Bootstrap
• Bootstrapping $O(N)$ Vector Models in $4<d<6$
• Bounds on $\mathcal{N}=1$ Superconformal Theories with Global Symmetries
• Approaching conformal window of $O(n)\times O(m)$ symmetric Landau-Ginzburg models from conformal bootstrap
• The superconformal bootstrap for structure constants
• Solving M-theory with the Conformal Bootstrap
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• PyCFTBoot: A flexible interface for the conformal bootstrap
• Bootstrapping Mixed Correlators in the Five Dimensional Critical O(N) Models
• Bootstrapping critical Ising model on three-dimensional real projective space
• Decoding a Three-Dimensional Conformal Manifold
• Constraints on Flavored 2d CFT Partition Functions
• Generalized bootstrap equations for N=4 SCFT
• Modular Constraints on Conformal Field Theories with Currents
• Scalar CFTs and Their Large N Limits
• Bootstrapping Mixed Correlators in 4D $\mathcal{N}=1$ SCFTs
• Bootstrap experiments on higher dimensional CFTs
• Bootstrap bound for conformal multi-flavor QCD on lattice
• Upper bound on the mass anomalous dimension in many-flavor gauge theories: a conformal bootstrap approach