Einstein gravity from a matrix integral -- Part I
arXiv:2410.18173
Abstract
We construct backreacted geometries dual to the supersymmetric mass deformation of the IKKT matrix model. They are Euclidean type IIB supergravity solutions given in terms of an electrostatic potential, having isometry and 16 supersymmetries. Quantizing the fluxes, we find that the supergravity solutions are in one-to-one correspondence with fuzzy sphere vacua of the matrix model.
24 pages + appendices, 4 figures, v4: modified discussion on validity regime of the supergravity approximation, fixed typos