Correlators in two rainbow tensor and complex multi-matrix models
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 colo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14300-z |
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| _version_ | 1850231406549008384 |
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| author | Bei Kang Lu-Yao Wang Ke Wu Wei-Zhong Zhao |
| author_facet | Bei Kang Lu-Yao Wang Ke Wu Wei-Zhong Zhao |
| author_sort | Bei Kang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-11f46a84725c4475bfa1f7f4e714fcc7 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-11f46a84725c4475bfa1f7f4e714fcc72025-08-20T02:03:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511310.1140/epjc/s10052-025-14300-zCorrelators in two rainbow tensor and complex multi-matrix modelsBei Kang0Lu-Yao Wang1Ke Wu2Wei-Zhong Zhao3School of Mathematics and Statistics, North China University of Water Resources and Electric PowerBeijing Institute of Mathematical Sciences and ApplicationsSchool of Mathematical Sciences, Capital Normal UniversitySchool of Mathematical Sciences, Capital Normal UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-025-14300-z |
| spellingShingle | Bei Kang Lu-Yao Wang Ke Wu Wei-Zhong Zhao Correlators in two rainbow tensor and complex multi-matrix models European Physical Journal C: Particles and Fields |
| title | Correlators in two rainbow tensor and complex multi-matrix models |
| title_full | Correlators in two rainbow tensor and complex multi-matrix models |
| title_fullStr | Correlators in two rainbow tensor and complex multi-matrix models |
| title_full_unstemmed | Correlators in two rainbow tensor and complex multi-matrix models |
| title_short | Correlators in two rainbow tensor and complex multi-matrix models |
| title_sort | correlators in two rainbow tensor and complex multi matrix models |
| url | https://doi.org/10.1140/epjc/s10052-025-14300-z |
| work_keys_str_mv | AT beikang correlatorsintworainbowtensorandcomplexmultimatrixmodels AT luyaowang correlatorsintworainbowtensorandcomplexmultimatrixmodels AT kewu correlatorsintworainbowtensorandcomplexmultimatrixmodels AT weizhongzhao correlatorsintworainbowtensorandcomplexmultimatrixmodels |