Hazel Mak | Construction of 1D, N = 4 Supersymmetric SYK-Type Vertices

Speaker: Hazel Mak
Date: April 29, 2021
Affiliation: Brown
Title: Construction of 1D, N = 4 Supersymmetric SYK-Type Vertices
Abstract: Proposals are made to describe 1D, N = 4 supersymmetrical systems that extend SYK models by compactifying from 4D, N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are generated via integrals over the whole superspace, while 2(q-1)-point fermionic vertices are generated via superpotentials. The coupling constants in the superfield Lagrangians are arbitrary, and can be chosen to be Gaussian random. In that case, these 1D, N = 4 supersymmetric SYK models would exhibit Wishart-Laguerre randomness, which share the same feature among other 1D supersymmetric SYK models in literature. One difference with 1D, N = 1 and N = 2 models though, is our models contain dynamical bosons, but this is consistent with other existing 1D, N = 4 and 2D, N = 2 models.