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Correlators in two rainbow tensor and complex multi-matrix models

delete2025-05-29
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OA
AI
B
Bei Kang
L
Luyao Wang
K
Ke Wu
W
Wei‐Zhong Zhao *
DOI:10.1140/epjc/s10052-025-14300-zdelete
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Abstract

Abstract

En 中文
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.
Keywords:
BRANCHED COVERS
CUT

Journal

European Physical Journal C cover
European Physical Journal C
IF:
4.8
Papers:
1.8W
Citations:
4.7W

Organization

Capital Normal University cover
Capital Normal University
Scholars:
1.7K
Papers: 745
Citations: 5.3K
N
North China University of Water Resources and Electric Power
Scholars:
2.7K
Papers: 977
Citations: 3.2K