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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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
26 April 2012
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| In: |
Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2012, Jahrgang: 85, Heft: 8, Pages: 1-12 |
| ISSN: | 1550-2368 |
| DOI: | 10.1103/PhysRevD.85.084037 |
| Online-Zugang: | 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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| Verfasserangaben: | Valentin Bonzom, Razvan Gurau and Vincent Rivasseau |
MARC
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| 520 | |a 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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