Holography for the Ishibashi-Kawai-Kitazawa-Tsuchiya Matrix Model

Holographic dualities that relate type II strings on near-horizon Dp brane geometries to super Yang-Mills theories with sixteen supercharges in p+1 dimensions provide nonconformal generalizations of the famous AdS/CFT correspondence. For the extremal case p=-1, this suggests a holographic duality for the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model-super Yang-Mills theory reduced to zero dimensions. Despite intriguing and highly nontrivial results in the IKKT model, this duality has remained largely unexplored so far. In this Letter, we consider the lowest supermultiplet of gauge invariant operators of the model and identify its states with the lowest Kaluza-Klein fluctuations of (Euclidean) IIB supergravity on the D(-1) instanton background. We construct its holographic bulk realization as a one-dimensional maximal supergravity with 32 supercharges and local SO(10) invariance, capturing the full nonlinear dynamics. Analyzing the bulk Killing spinor equations, we construct the most general half-supersymmetric solutions, which typically break SO(10). We present their uplifts to IIB supergravity, and furthermore to pp waves in twelve dimensions. These results provide the minimal setup for conducting precision tests of holography involving Einstein gravity.