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Large N limit of complex multi-matrix model

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arxiv 2312.08761 v1 pith:CFFDPUYT submitted 2023-12-14 hep-th

Lu-Yao Wang , Yu-Sen Zhu , Shao-Kui Yao , Bei Kang This is my paper · ORCID
classification hep-th
keywords correlatorsmodelmulti-matrixcomplexconnectedenergyfreelarge
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We construct the complex multi-matrix model with W-representation and calculate the correlators. We establish the correspondence between the connected correlators and length-2n q-colored Dyck walks in Fredkin spin chain and discuss the entanglement entropy. Moreover, we analyze the free energy of this multi-matrix model. For the leading coefficient of the free energy, it relates to the connected correlators in large N limit.

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  1. Correlators in two rainbow tensor and complex multi-matrix models

    hep-th 2025-05 conditional novelty 6.0 of 10

    Two multi-tensor rainbow models are built via W-representations, and their correlators are computed exactly both from colored Dessins and from W-operators.

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