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arXiv · 2505.08132

Correlators in two rainbow tensor and complex multi-matrix models

Bei Kang·Lu-Yao Wang·Ke Wu·Wei-Zhong Zhao
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Abstract

We construct two rainbow tensor models with multi-tensors of rank-$3$ and present their $W$-representations. We give the formula of counting number of independent gauge-invariant operators in terms of Hurwitz numbers and establish a one-to-one correspondence between connected operators and colored Dessins. By means of the colored Dessins and $W$-representations, respectively, we derive two compact expressions of correlators for each of rainbow tensor models. Furthermore, two complex multi-matrix models from the degradations of the constructed rainbow tensor models are also discussed.

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Bei Kang, Lu-Yao Wang, Ke Wu, Wei-Zhong Zhao. 2025-05-13. Correlators in two rainbow tensor and complex multi-matrix models. https://arxiv.org/abs/2505.08132

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