Complete solution to Gaussian tensor model and its integrable properties

Autor: H. Itoyama, A. Mironov, A. Morozov
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physics Letters B, Vol 802, Iss , Pp - (2020)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2020.135237
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.
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