6D (2,0) Bootstrap with soft-Actor-Critic

Abstract

We study numerically the 6D (2,0) superconformal bootstrap using the soft-Actor-Critic (SAC) algorithm as a stochastic optimizer. We focus on the four-point functions of scalar superconformal primaries in the energy-momentum multiplet. Starting from the supergravity limit, we perform searches for adiabatically varied central charges and derive two curves for a collection of 80 CFT data (70 of these data correspond to unprotected long multiplets and 10 to protected short multiplets). We conjecture that the two curves capture the A- and D-series (2,0) theories. Our results are competitive when compared to the existing bounds coming from standard numerical bootstrap methods, and data obtained using the OPE inversion formula. With this paper we are also releasing our Python implementation of the SAC algorithm, BootSTOP. The paper discusses the main functionality features of this package.

30 pages, 10 figures; v2: references added

References in corpus (4)

• Critical exponents of the 3d Ising and related models from Conformal Bootstrap
• Truncatable bootstrap equations in algebraic form and critical surface exponents
• Pure anti-de Sitter supergravity and the conformal bootstrap
• A Monte Carlo approach to the conformal bootstrap

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