PIRSA:12050055 Conference

DOI10.48660/12050055

Conference/School: GAP 2012: Geometry and Physics

Gurau, R. (2012). The 1/N Expansion in Random Tensor Models. Perimeter Institute. https://pirsa.org/12050055

Gurau, Razvan. The 1/N Expansion in Random Tensor Models. Perimeter Institute, May. 07, 2012, https://pirsa.org/12050055 

@misc{ pirsa_PIRSA:12050055,
  doi = {10.48660/12050055},
  url = {https://pirsa.org/12050055},
  author = {Gurau, Razvan},
  keywords = {},
  language = {en},
  title = {The 1/N Expansion in Random Tensor Models},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {may},
  note = {PIRSA:12050055 see, \url{https://pirsa.org}}
}

Abstract

Matrix models yield a theory of random two dimensional surfaces. They support a 1/N expansion dominated by planar graphs (corresponding to planar surfaces) and undergo a phase transition to a continuum theory. In higher dimensions matrix models generalize to tensor models. In the absence of a viable 1=N expansion, tensor models have for a long time been less successful in providing a theory of random higher dimensional spaces. This situation has drastically changed recently. Models for a non-symmetric complex tensor have been shown to admit a 1/N expansion dominated by graphs of spherical topology in arbitrary dimensions and to undergo a phase transition to a continuum theory. I will present an overview of these results and discuss their implications.

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