Machine Learning the Conformal Manifold of Holographic CFT₂s

We investigate the structure of conformal manifolds around AdS₃ × S³ 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.