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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.08132 |
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| _version_ | 1866910941078093824 |
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| author | Kang, Bei Wang, Lu-Yao Wu, Ke Zhao, Wei-Zhong |
| author_facet | Kang, Bei Wang, Lu-Yao Wu, Ke Zhao, Wei-Zhong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08132 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correlators in two rainbow tensor and complex multi-matrix models Kang, Bei Wang, Lu-Yao Wu, Ke Zhao, Wei-Zhong High Energy Physics - Theory Mathematical Physics 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. |
| title | Correlators in two rainbow tensor and complex multi-matrix models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2505.08132 |