Random tensor models in the large N limit: uncoloring the colored tensor models
Tensor models generalize random matrix models in yielding a theory of dynamical triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a 1/N expansion and a continuum limit accessible analytically. In this paper we prove that these results extend to the most general t...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 April 2012
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| In: |
Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2012, Volume: 85, Issue: 8, Pages: 1-12 |
| ISSN: | 1550-2368 |
| DOI: | 10.1103/PhysRevD.85.084037 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.85.084037 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.85.084037 
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| Author Notes: | Valentin Bonzom, Razvan Gurau and Vincent Rivasseau |
| Summary: | Tensor models generalize random matrix models in yielding a theory of dynamical triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a 1/N expansion and a continuum limit accessible analytically. In this paper we prove that these results extend to the most general tensor model for a single generic, i.e. nonsymmetric, complex tensor. Colors appear in this setting as a canonical bookkeeping device and not as a fundamental feature. In the large N limit, we exhibit a set of Virasoro constraints satisfied by the free energy and an infinite family of multicritical behaviors with entropy exponents γm=1−1/m. |
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| Item Description: | Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-2368 |
| DOI: | 10.1103/PhysRevD.85.084037 |