Matrix models are one of the most versatile tools in theoretical physics with applications ranging from the theory of strong interaction, to string theory, critical phenomena and two dimensional quantum gravity. The versatility of matrix models is largely due to their topological 1/N expansion dominated by graphs with spherical topology. par In higher dimensions matrix models generalize to tensor models. The ordinary tensor models are plagued by singularities and do not admit a meaningful 1/N expansion. par In this talk I will show that by adding an extra ingredient (a coloring of the fields) the tensor models become manageable and admit a 1/N expansion dominated by graphs with spherical topology in arbitrary dimension.

Perimeter institute