Compact holography via polarized IKKT
Abstract
The polarized IKKT matrix model is a U(N) supersymmetric matrix integral proposed to be dual to an N D-instanton sector of Euclidean type IIB string theory. We show a direct path from matrix model saddles to supergravity saddles: matrix model resolvent → holomorphic function → 2D Coulomb potential → 4D Coulomb potential → supergravity fields, where the last step was previously described. Here, the 2D electrostatics picture is an exact finite N reformulation of a localization deformation of the matrix model that gives a constrained gas of dipoles in a background field. We show a matching between supergravity and matrix model on-shell actions and protected observables for all saddles. We show that the supergravity saddles have a compact and non-singular metric in string frame with the Einstein frame asymptotic region replaced by a pointlike D-instanton source. We provide evidence that the physics of particular gravity saddles can be obtained through restricting the domain of the matrix model integral to a basin associated with the corresponding matrix model saddle. We describe certain large N decoupling limits where families of the saddles decouple from the rest to give the gravity duals of certain higher-dimensional field theories.
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BibTeX
@misc{najafian2026compact,
title = {{Compact holography via polarized IKKT}},
author = {Arsam Najafian and Mark Van Raamsdonk and Alejandro Vilar López},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03807},
eprint = {2611.03807},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03807},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Compact holography via polarized IKKT
AU - Arsam Najafian
AU - Mark Van Raamsdonk
AU - Alejandro Vilar López
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03807
UR - https://arxiv.org/abs/2611.03807
AB - The polarized IKKT matrix model is a U(N) supersymmetric matrix integral proposed to be dual to an N D-instanton sector of Euclidean type IIB string theory. We show a direct path from matrix model saddles to supergravity saddles: matrix model resolvent → holomorphic function → 2D Coulomb potential → 4D Coulomb potential → supergravity fields, where the last step was previously described. Here, the 2D electrostatics picture is an exact finite N reformulation of a localization deformation of the matrix model that gives a constrained gas of dipoles in a background field. We show a matching between supergravity and matrix model on-shell actions and protected observables for all saddles. We show that the supergravity saddles have a compact and non-singular metric in string frame with the Einstein frame asymptotic region replaced by a pointlike D-instanton source. We provide evidence that the physics of particular gravity saddles can be obtained through restricting the domain of the matrix model integral to a basin associated with the corresponding matrix model saddle. We describe certain large N decoupling limits where families of the saddles decouple from the rest to give the gravity duals of certain higher-dimensional field theories.
ER -