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Résumé |
A particularly interesting corner of holographic dualities is the correspondence
between type II strings on near-horizon Dp-brane geometries and d = p+1
dimensional super Yang-Mills theories with sixteen supercharges. For the extremal
case p = -1, this suggests a duality for the IKKT matrix model. In this talk, I
will consider the lowest BPS multiplet of single-trace operators 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 present classes of half-
supersymmetric solutions that generically break SO(10) and discuss their ten-
dimensional uplifts.
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