High Energy Theory Seminar

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.