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arXiv · 2512.16583

An equivalence in random matrix and tensor models via a dually weighted intermediate field representation

Juan Abranches·Alicia Castro·Reiko Toriumi
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Abstract

We present novel equivalences in random matrix and tensor models between complex and self-adjoint theories with nontrivial quadratic terms in the action, established through an intermediate field representation. More precisely, we show that the partition functions of certain self-adjoint models and their complex counterparts are different integral representations of the exact same function. A special case of these equivalences takes a form of newly found dually weighted intermediate field representations, which generalize the standard intermediate field representation. We also find indications of an equivalence between real tensor models and self-transpose tensor models.

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Juan Abranches, Alicia Castro, Reiko Toriumi. 2025-12-18. An equivalence in random matrix and tensor models via a dually weighted intermediate field representation. https://arxiv.org/abs/2512.16583

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