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The matrix edge of holography

Franz Ciceri, Henning Samtleben

Abstract

The IKKT matrix model arises at the extremal $p= -1$ limit of holographic dualities based on D$p$-brane geometries. We review the one-dimensional maximal supergravity that governs bulk fluctuations dual to the lowest BPS multiplet of gauge-invariant operators in the IKKT model. We present the Killing spinor equations and discuss their general half-supersymmetric solutions within the $\rm{SO}(3)\times \rm{SO}(7)$-invariant subsector. The explicit uplift of these solutions to Euclidean IIB supergravity in ten dimensions is provided.

The matrix edge of holography

Abstract

The IKKT matrix model arises at the extremal limit of holographic dualities based on D-brane geometries. We review the one-dimensional maximal supergravity that governs bulk fluctuations dual to the lowest BPS multiplet of gauge-invariant operators in the IKKT model. We present the Killing spinor equations and discuss their general half-supersymmetric solutions within the -invariant subsector. The explicit uplift of these solutions to Euclidean IIB supergravity in ten dimensions is provided.

Paper Structure

This paper contains 7 sections, 51 equations.