On 1D, N = 4 Supersymmetric SYK-Type Models (II)

TL;DR

This paper extends 1D, N=4 supersymmetric SYK models by introducing the complex linear supermultiplet and constructing new models with various interactions, highlighting the necessity of dynamical bosons.

Contribution

It introduces the complex linear supermultiplet to 1D, N=4 SYK models and constructs new interaction types, advancing understanding of supersymmetric SYK dynamics.

Findings

Introduction of complex linear supermultiplet (CLS)

Construction of three new model types

Evidence for the necessity of dynamical bosons

Abstract

This paper is an extension of our last 1D, N = 4 supersymmetric SYK paper [arXiv:2103.11899]. In this paper we introduced the complex linear supermultiplet (CLS), which is "usefully inequivalent" to the chiral supermultiplet. We construct three types of models based on the complex linear supermultiplet containing quartic interactions from modified CLS kinetic term, quartic interactions from 3-pt vertices integrated over the whole superspace, and 2(q-1)-pt interactions generated via superpotentials respectively. A strong evidence for the inevitability of dynamical bosons for 1D, N = 4 SYK is also presented.