Complete solution to Gaussian tensor model and its integrable properties
| Autor: | A. Morozov, Hiroshi Itoyama, A. D. Mironov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Pure mathematics Complex matrix Integrable system 010308 nuclear & particles physics Gaussian FOS: Physical sciences Rainbow Partition function (mathematics) 01 natural sciences lcsh:QC1-999 Lift (mathematics) symbols.namesake High Energy Physics - Theory (hep-th) 0103 physical sciences Lie algebra symbols 010306 general physics lcsh:Physics |
| Zdroj: | Physics Letters B, Vol 802, Iss, Pp-(2020) Physics Letters |
| DOI: | 10.48550/arxiv.1910.03261 |
| Popis: | Similarly to the complex matrix model, the rainbow tensor models are superintegrable in the sense that arbitrary Gaussian correlators are explicitly expressed through the Clebsh-Gordan coefficients. We introduce associated (Ooguri-Vafa type) partition functions and describe their $W$-representations. We also discuss their integrability properties, which can be further improved by better adjusting the way the partition function is defined. This is a new avatar of the old unresolved problem with non-Abelian integrability concerning a clever choice of the partition function. This is a part of the long-standing problem to define a non-Abelian lift of integrability from the fundamental to generic representation families of arbitrary Lie algebras. Comment: 9 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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