BMN-like Matrix Models

Eunwoo Lee

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arXiv · 2602.22163

BMN-like Matrix Models

Eunwoo Lee

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Abstract

We conjecture a family of matrix quantum mechanical models that are holographically dual to discrete light-cone quantization of M-theory in pp-wave-like backgrounds. These backgrounds can be obtained from a Penrose limit of AdS$_4\times X_7$, where $X_7$ is Einstein. The matrix models arise from a classically consistent dimensional reduction of the UV Lagrangians of $\mathcal{N}=1$ superconformal field theories, in close analogy with how the BMN matrix model is obtained by dimensional reduction from $\mathcal{N}=4$ super Yang-Mills theory. We also discuss about supersymmetric black objects in pp-wave background by studying the Witten index and speculate that the area of the horizon is bounded from above for a fixed $N$.

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Eunwoo Lee. 2026-02-25. BMN-like Matrix Models. https://arxiv.org/abs/2602.22163

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