Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 390, Issue 3, Pages 1219-1270Publisher
SPRINGER
DOI: 10.1007/s00220-021-04299-1
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Funding
- Radboud University in Nijmegen, the Netherlands
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program [818066]
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [EXC-2181/1 - 390900948]
- Perimeter Institute
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Colleges and Universities
- European Research Council (ERC) [818066] Funding Source: European Research Council (ERC)
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We demonstrate that random tensors transforming under rank-5 irreducible representations of O(N) can support melonic large N expansions. Our proof relies on recursive bounds derived from a detailed combinatorial analysis of the Feynman graphs.
We demonstrate that random tensors transforming under rank-5 irreducible representations of 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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