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arXiv · 2603.17364

Finite-$N$ Bootstrap Constraints in Matrix and Tensor Models

Samuel Laliberte·Reiko Toriumi
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Abstract

We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite $N$, where $N$ is the dimension of the matrix/tensor, taking a Gaussian model with a quartic interaction as example. For matrix models, we find further evidence that bounds do not depend explicitly on $N$, but rather on properties of multi-trace expectation values. For tensor models, the structure of the Schwinger-Dyson equations allow for bounds that vary as a function of $N$, admitting a broader scan of the parameter space of the theory. In the latter case, we find novel bounds on the two-point function as a function of the quartic coupling of the theory.

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Samuel Laliberte, Reiko Toriumi. 2026-03-18. Finite-$N$ Bootstrap Constraints in Matrix and Tensor Models. https://arxiv.org/abs/2603.17364

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