N=4 super-Schwarzian via nonlinear realizations

TL;DR

This paper develops a method to derive the N=4 super-Schwarzian derivative using nonlinear realizations of the superconformal group SU(1,1|2), contributing to the understanding of supersymmetric extensions of the SYK model.

Contribution

It introduces a novel approach connecting superconformal invariants to the N=4 super-Schwarzian via nonlinear realizations.

Findings

Derived the N=4 super-Schwarzian from superconformal invariants.

Established a link between superconformal group SU(1,1|2) and super-Schwarzian derivatives.

Provided a framework for supersymmetric extensions of the SYK model.

Abstract

Current studies of supersymmetric extensions of the Sachdev-Ye-Kitaev model stimulate a renewed interest in super-Schwarzian derivatives. In this work, we apply the method of nonlinear realizations to the finite-dimensional superconformal group SU(1,1|2) and link its invariants to the N=4 super-Schwarzian.