Speaker
Description
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 non-conformal generalizations of the famous AdS/CFT correspondence. For the extremal case p=-1, this suggests a holographic duality for the IKKT matrix model -- super Yang-Mills theory reduced to zero dimensions. Despite intriguing and highly non-trivial results in the IKKT model, this duality has remained largely unexplored so far. In this talk, I will 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. I will explain how to construct its holographic bulk realization as a one-dimensional maximal supergravity with 32 supercharges and local SO(10) invariance, capturing the full non-linear dynamics. By analyzing the bulk Killing spinor equations, I will present a general class of half-supersymmetric solutions, which typically break SO(10), and discuss their uplifts to IIB supergravity and, furthermore, to pp-waves in twelve dimensions. These results provide a minimal setup for conducting precision tests of holography involving Einstein gravity.
