A supergravity dual for IKKT holography

Fuente: arXiv
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Main Authors: Ciceri, Franz, Samtleben, Henning
Format: Preprint
Published: 2025
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author Ciceri, Franz
Samtleben, Henning
author_facet Ciceri, Franz
Samtleben, Henning
contents The IKKT matrix model, from the holographic perspective, arises at the p=-1 endpoint of the family of dualities relating type II supergravities on near-horizon Dp-brane geometries to (p+1)-dimensional super Yang-Mills theories with sixteen supercharges. In this work, we detail and expand results reported in a recent letter by establishing the holographic dictionary between gauge-invariant operators in the lowest BPS multiplet of the matrix model and the corresponding Kaluza-Klein fluctuations of Euclidean IIB supergravity compactified on the D(-1) instanton background. The full non-linear dynamics of these fluctuations can be encoded in a one-dimensional maximal gauged supergravity, which we construct explicitly. We provide its complete Lagrangian, up to second order in fermions, together with the corresponding supersymmetry transformations. We further discuss real forms of the theory for non-compact gauge groups and their embeddings into ten-dimensional supergravities with Lorentzian signature. From the analysis of the one-dimensional Killing spinor equations, we derive different classes of half-supersymmetric solutions, and discuss their uplifts as well as their relations to known solutions.
format Preprint
id arxiv_https___arxiv_org_abs_2511_23111
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A supergravity dual for IKKT holography
Ciceri, Franz
Samtleben, Henning
High Energy Physics - Theory
The IKKT matrix model, from the holographic perspective, arises at the p=-1 endpoint of the family of dualities relating type II supergravities on near-horizon Dp-brane geometries to (p+1)-dimensional super Yang-Mills theories with sixteen supercharges. In this work, we detail and expand results reported in a recent letter by establishing the holographic dictionary between gauge-invariant operators in the lowest BPS multiplet of the matrix model and the corresponding Kaluza-Klein fluctuations of Euclidean IIB supergravity compactified on the D(-1) instanton background. The full non-linear dynamics of these fluctuations can be encoded in a one-dimensional maximal gauged supergravity, which we construct explicitly. We provide its complete Lagrangian, up to second order in fermions, together with the corresponding supersymmetry transformations. We further discuss real forms of the theory for non-compact gauge groups and their embeddings into ten-dimensional supergravities with Lorentzian signature. From the analysis of the one-dimensional Killing spinor equations, we derive different classes of half-supersymmetric solutions, and discuss their uplifts as well as their relations to known solutions.
title A supergravity dual for IKKT holography
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.23111