Einstein gravity from a matrix integral. Part I
Shota Komatsu, Adrien Martina, João Penedones, Antoine Vuignier, Xiang Zhao
Abstract
A bstract 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 SO(7) × SO(3) 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.
Topics & Concepts
PhysicsSupergravityMathematical physicsEuclidean geometryIsometry (Riemannian geometry)Matrix (chemical analysis)EinsteinTheoretical physicsFuzzy sphereHigher-dimensional supergravityMatrix modelGravitationSupersymmetryM-theoryMass matrixClassical mechanicsType (biology)ModuliDeformation (meteorology)Dual (grammatical number)Magnetic monopoleMinkowski spaceMetric (unit)Symmetry (geometry)DiffeomorphismString theoryBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories