The matrix edge of holography

TL;DR

This paper explores the IKKT matrix model's connection to holography, analyzing supergravity solutions and their uplift to IIB supergravity, revealing insights into bulk fluctuations and supersymmetric configurations.

Contribution

It provides a detailed review of supergravity solutions related to the IKKT matrix model and their explicit uplift to ten-dimensional IIB supergravity.

Findings

Derived Killing spinor equations for the model.

Identified half-supersymmetric solutions within a specific symmetry subsector.

Explicitly uplifted solutions to ten-dimensional supergravity.

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.