Machine learning the conformal manifold of holographic CFT2’s

A

bstract

We investigate the structure of conformal manifolds around AdS ₃ × S ³ which lift from continuous flat directions in the scalar potential of gauged supergravity resulting from six-dimensional 𝒩 = (1, 1) supergravity. Our approach combines numerical exploration and symbolic inference. For the latter, we develop a symbolic regression algorithm based on Annealed Sequential Monte Carlo samplers, a combination of Annealed Importance Sampling and Sequential Monte Carlo samplers, well-suited to uncovering polynomial constraints in high-dimensional parameter spaces. The algorithm reconstructs a set of polynomial relations that provides an explicit analytic parametrization of a new family of solutions.