# TASI lectures on Matrix Theory from a modern viewpoint

**Authors:** Henry W. Lin

arXiv: 2508.20970 · 2025-09-30

## TL;DR

This paper reviews the BFSS matrix quantum mechanics from a modern, post-AdS/CFT perspective, discussing gravity duals, strong coupling extrapolation, and the matrix bootstrap method.

## Contribution

It provides a comprehensive modern viewpoint on D0-brane matrix theory, including gravity duals and bootstrap techniques, which are less explored in traditional literature.

## Key findings

- Clarifies the gravity dual in the 't Hooft regime
- Extrapolates matrix theory to strong coupling
- Applies matrix bootstrap to D0-brane quantum mechanics

## Abstract

These notes review the D0-brane or Banks-Fischler-Shenker-Susskind (BFSS) matrix quantum mechanics from a post-AdS/CFT perspective. We start from the decoupling argument for D0-branes and discuss the gravity dual in the 't Hooft regime, before extrapolating to strong coupling. In the second part of these notes, we review the matrix bootstrap method and its application to the D0-brane quantum mechanics.

## Full text

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## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/2508.20970/full.md

## References

127 references — full list in the complete paper: https://tomesphere.com/paper/2508.20970/full.md

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Source: https://tomesphere.com/paper/2508.20970