QG seminar
Speaker: Franz Ciceri (ENS Lyon)
Title: "Holography for the IKKT matrix model"

A particularly interesting corner of holographic dualities is the correspondence between type II strings on Dp branes geometries and d = p+1 dimensional super Yang-Mills theories with sixteen supercharges. For the extremal case p=-1, this suggests a holographic duality for the IKKT matrix model. Despite intriguing and highly non-trivial results in the IKKT model, this duality has so far remained largely unexplored. 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 dual D(-1) instanton background. I will explain how to construct its holographic bulk realisation as a one-dimensional maximal supergravity with local SO(10) invariance, capturing the full non-linear dynamics. Using the bulk Killing spinor equations, I will then present a general class of supersymmetric solutions that typically break SO(10) and discuss the associated brane distributions. I will end with some remarks on open questions and future directions.