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.

27 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 (10)

• Bounds on 4D Conformal and Superconformal Field Theories
• The critical exponents of the superfluid transition in He4
• 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
• Bootstrapping phase transitions in QCD and frustrated spin systems
• Five dimensional $O(N)$-symmetric CFTs from conformal bootstrap
• Bootstrapping $O(N)$ Vector Models in $4<d<6$
• Approaching conformal window of $O(n)\times O(m)$ symmetric Landau-Ginzburg models from conformal bootstrap
• Generalized bootstrap equations for N=4 SCFT