Embeddings of E(1,6) in E(5,10) and E(4,4)

TL;DR

This paper investigates the mathematical embeddings of the exceptional Lie superalgebra E(1,6) into larger superalgebras E(5,10) and E(4,4), motivated by supersymmetric theories and symmetry enhancements.

Contribution

It provides a detailed analysis of the embeddings of E(1,6) into E(5,10) and E(4,4), contributing to the understanding of symmetry structures in supersymmetric models.

Findings

Identified specific embedding structures of E(1,6) into E(5,10) and E(4,4)

Clarified the role of these embeddings in supersymmetric theories

Extended the classification of embeddings of exceptional Lie superalgebras

Abstract

We study the embeddings of the exceptional infinite-dimensional Lie superalgebra E(1,6) in the exceptional Lie superalgebras E(5,10) and E(4,4). These questions arose in the recent works on enhanced symmetries in some supersymmetric theories by N. Garner, S. Raghavendran, I. Saberi and B. Williams.