#### High Energy Theory Seminar - IAS - Razvan Gurau, Perimeter Institute - The Large N Limit of Tensor Models

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 proved less successful in providing a theory of random higher

dimensional spaces.

I will show that models for a non symmetric complex tensor admit a

1/N expansion dominated by graphs of spherical topology in arbitrary

dimensions and undergo a phase transition to a continuum theory.

**Location:**
Bloomberg Lecture Hall - Institute for Advanced Study

**Date/Time: **02/06/12
at
3:00 pm
- 02/06/12
at
4:30 pm

**Category: **High Energy Theory Seminar

**Department: **Physics