A generalization of the Virasoro algebra to arbitrary dimensions
Colored tensor models generalize matrix models in higher dimensions. They admit a 1/N expansion dominated by spherical topologies and exhibit a critical behavior strongly reminiscent of matrix models. In this paper we generalize the colored tensor models to colored models with generic interaction, d...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
21 July 2011
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| In: |
Nuclear physics. B, Particle physics
Year: 2011, Volume: 852, Issue: 3, Pages: 592-614 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2011.07.009 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nuclphysb.2011.07.009 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0550321311003816 
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| Author Notes: | Razvan Gurau |
| Summary: | Colored tensor models generalize matrix models in higher dimensions. They admit a 1/N expansion dominated by spherical topologies and exhibit a critical behavior strongly reminiscent of matrix models. In this paper we generalize the colored tensor models to colored models with generic interaction, derive the Schwinger Dyson equations in the large N limit and analyze the associated algebra of constraints satisfied at leading order by the partition function. We show that the constraints form a Lie algebra (indexed by trees) yielding a generalization of the Virasoro algebra in arbitrary dimensions. |
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| Item Description: | Gesehen am 30.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2011.07.009 |