Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation

Understand

We discuss the bi-local collective theory for the $\mathcal{N}=1,2$ supersymmetric Sachdev-Ye-Kitaev (SUSY SYK) models.

• We construct a bi-local superspace, and formulate the bi-local collective superfield theory of the one-dimensional SUSY vector model.
• The bi-local collective theory provides systematic analysis of the SUSY SYK models.
• We find that this bi-local collective theory naturally leads to supermatrix formulation in the bi-local superspace.