An equivalence in random matrix and tensor models via a dually weighted intermediate field representation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910083411083264 |
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| author | Abranches, Juan Castro, Alicia Toriumi, Reiko |
| author_facet | Abranches, Juan Castro, Alicia Toriumi, Reiko |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An equivalence in random matrix and tensor models via a dually weighted intermediate field representation Abranches, Juan Castro, Alicia Toriumi, Reiko Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | An equivalence in random matrix and tensor models via a dually weighted intermediate field representation |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.16583 |