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Updated: Sep 10, 2025
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Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
Published on: March 31, 2022
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Holography for the Ishibashi-Kawai-Kitazawa-Tsuchiya Matrix Model
Franz Ciceri1, Henning Samtleben1,2
1LPENSL, CNRS, ENS de Lyon, UMR5672, 69342, Lyon cedex 07, France.
Physical Review Letters
|August 27, 2025
Summary
This study explores the holographic duality of the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model and its connection to super Yang-Mills theory. Researchers identified operator states with Kaluza-Klein fluctuations, advancing holographic principle tests.
Area of Science:
- String Theory
- Quantum Field Theory
- Holography
Background:
- Nonconformal generalizations of AdS/CFT correspondence involve type II strings on Dp brane geometries and super Yang-Mills theories.
- The extremal case p=-1 suggests a holographic duality for the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model and zero-dimensional super Yang-Mills theory.
Purpose of the Study:
- To explore the largely unexplored holographic duality of the IKKT matrix model.
- To identify the lowest supermultiplet of gauge-invariant operators with Kaluza-Klein fluctuations in supergravity.
Main Methods:
- Identification of lowest supermultiplet states with Kaluza-Klein fluctuations of IIB supergravity on a D(-1) instanton background.
- Construction of a holographic bulk realization using one-dimensional maximal supergravity with 32 supercharges and local SO(10) invariance.
- Analysis of bulk Killing spinor equations to construct general half-supersymmetric solutions.
Main Results:
- The lowest supermultiplet states were identified with Kaluza-Klein fluctuations.
- A holographic bulk realization was constructed, capturing nonlinear dynamics.
- General half-supersymmetric solutions were derived and uplifted to IIB supergravity and 12D pp-waves.
Conclusions:
- The study provides a minimal setup for precision tests of holography involving Einstein gravity.
- The findings advance the understanding of holographic dualities beyond the conformal case.
- This work bridges matrix models and supergravity in a novel holographic context.
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