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
Date/Time: 02/06/12 at 3:00 pm - 02/06/12 at 4:30 pm
Category: High Energy Theory Seminar
Department: Physics