Melonic large N limit of 5-index irreducible random tensors

• Verfasst von: Carrozza, Sylvain [VerfasserIn]
• Verfasst von: Harribey, Sabine [VerfasserIn]
• Titel: Melonic large N limit of 5-index irreducible random tensors
• Verf.angabe: Sylvain Carrozza, Sabine Harribey
• E-Jahr: 2022
• Jahr: 18 January 2022
• Umfang: 52 S.
• Fussnoten: Gesehen am 29.09.2022
• Titel Quelle: Enthalten in: Communications in mathematical physics
• Ort Quelle: Berlin : Springer, 1965
• Jahr Quelle: 2022
• Band/Heft Quelle: 390(2022), 3, Seite 1219-1270
• ISSN Quelle: 1432-0916
• DOI: doi:10.1007/s00220-021-04299-1
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1817783750

Abstract

We demonstrate that random tensors transforming under rank-5 irreducible representations of $$\mathrm {O}(N)$$can support melonic large N expansions. Our construction is based on models with sextic (5-simplex) interaction, which generalize previously studied rank-3 models with quartic (tetrahedral) interaction (Benedetti et al. in Commun Math Phys 371:55, 2019. arXiv:1712.00249; Carrozza in JHEP 06:039, 2018. arXiv:1803.02496). Beyond the irreducible character of the representations, our proof relies on recursive bounds derived from a detailed combinatorial analysis of the Feynman graphs. Our results provide further evidence that the melonic limit is a universal feature of irreducible tensor models in arbitrary rank.