On twisted large N=4 conformal superalgebras

TL;DR

This paper computes the automorphism group of the large N=4 conformal superalgebra and classifies its twisted loop conformal superalgebras, confirming only two such superalgebras exist up to isomorphism.

Contribution

It provides an explicit computation of automorphisms and a classification of twisted loop superalgebras for the large N=4 conformal superalgebra, clarifying their structure.

Findings

Only two twisted loop conformal superalgebras exist up to isomorphism.

The automorphism group of the large N=4 conformal superalgebra is explicitly determined.

The classification aligns with previous descriptions in the physics literature.

Abstract

We explicitly compute the automorphism group of the large N = 4 conformal superalgebra and classify the twisted loop conformal superalgebras based on the large N = 4 conformal superalgebra. By considering the corresponding superconformal Lie algebras, we validate the existence of only two (up to isomorphism) such algebras as described in the Physics literature.