Classification of simple differential Lie and Jordan (super)coalgebras of finite rank

TL;DR

This paper classifies simple differential Lie and Jordan supercoalgebras of finite rank, providing explicit descriptions of associated Lie supercoalgebras related to superconformal algebras and an exceptional Lie conformal superalgebra.

Contribution

It offers a comprehensive classification and explicit descriptions of simple differential Lie and Jordan supercoalgebras, including those linked to important superconformal algebras.

Findings

Classification of simple differential Lie supercoalgebras of finite rank

Explicit descriptions of Lie supercoalgebras for superconformal algebras

Identification of supercoalgebras related to CK$_6$

Abstract

We classify simple differential Lie and Jordan (super)coalgebras of finite rank. In particular, we provide an explicit description of the Lie supercoalgebras associated with the operator product expansion (OPE) of the n=2,3,4 superconformal Lie algebras and the exceptional Lie conformal superalgebra CK$_6$