The Double Scaling Limit in Arbitrary Dimensions: A Toy Model

Understand

Colored tensor models generalize matrix models in arbitrary dimensions yielding a statistical theory of random higher dimensional topological spaces.

• They admit a 1/N expansion dominated by graphs of spherical topology.
• The simplest tensor model one can consider maps onto a rectangular matrix model with skewed scalings.
• We analyze this simplest toy model and show that it exhibits a family of multi critical points and a novel double scaling limit.