Abstract: |
Melonic tensor model is a new type of solvable model, where the melonic Feynman diagrams dominate in the large N limit. The melonic dominance, as well as the solvability of the model, relies on a special type of interaction vertex, which generically would not be preserved under renormalization group flow. I will discuss a class of 2d N=(2,2) melonic tensor models, where the non-renormalization of the superpotential protects the melonic dominance. The large N limit for the correlation functions and the thermodynamics in our model are the same as the N=(2,2) SYK model studied by Murugan, Stanford, Witten, and Bulycheva. I will also discuss the moduli space, the central charge and the elliptic genus of the model. |