Melonic large N limit of 5-index irreducible random tensors
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)...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
18 January 2022
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| In: |
Communications in mathematical physics
Year: 2022, Volume: 390, Issue: 3, Pages: 1219-1270 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-021-04299-1 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-021-04299-1
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| Author Notes: | Sylvain Carrozza, Sabine Harribey |
| Summary: | 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. |
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| Item Description: | Gesehen am 29.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-021-04299-1 |