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

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arxiv 2209.02801 v2 pith:RIDJXYJH submitted 2022-09-06 hep-th

Gergely Kántor , Vasilis Niarchos , Constantinos Papageorgakis , Paul Richmond This is my paper · ORCID
classification hep-th
keywords bootstrapdataalgorithmcurvesmultipletssoft-actor-criticsuperconformaladiabatically
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 5 Pith papers

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  5. Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

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