Machine Learning N=8,D=5 Gauged Supergravity

Type IIB string theory on a 5‐sphere gives rise to N=8,SO(6) gauged supergravity in five dimensions. Motivated by the fact that this is the context of the most widely studied example of the AdS/CFT correspondence, we undertake an investigation of its critical points. The scalar manifold is an E6(6)/USp(8) coset, and the challenge is that it is 42‐dimensional. We take a Machine Learning approach to the problem using TensorFlow, and this results in a substantial increase in the number of known critical points. Our list of 32 critical points contains all five of the previously known ones, including an N=2 supersymmetric point identified by Khavaev, Pilch and Warner.