QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES

TL;DR

This paper explores the construction of N=4 superconformal field theories using Manin triples and establishes a correspondence with quasi Frobenius Lie algebras, providing a new algebraic framework for these theories.

Contribution

It introduces a novel connection between quasi Frobenius Lie algebras and N=4 superconformal field theories via Manin triple construction.

Findings

Established a correspondence between quasi Frobenius Lie algebras and N=4 superconformal theories

Developed a new algebraic construction method for superconformal field theories

Provided insights into the structure of N=4 superconformal theories

Abstract

Manin triple construction of N=4 superconformal field theories is considered. The correspondence between quasi Frobenius finite-dimensional Lie algebras and N=4 superconformal field theories is established.