https://doi.org/10.1140/epjc/s10052-025-14300-z
Regular Article - Theoretical Physics
Correlators in two rainbow tensor and complex multi-matrix models
1
School of Mathematics and Statistics, North China University of Water Resources and Electric Power, 450046, Zhengzhou, Henan, China
2
Beijing Institute of Mathematical Sciences and Applications, 101408, Beijing, China
3
Yau Mathematical Sciences Center, Tsinghua University, 100084, Beijing, China
4
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
Received:
1
January
2025
Accepted:
10
May
2025
Published online:
29
May
2025
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.
© The Author(s) 2025
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