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Résumé |
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, until recently, received only limited attention. 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. By analysing the one-dimensional Killing spinor equations, I will then present several classes of half-supersymmetric solutions that break SO(10), and discuss their ten-dimensional uplifts. |
