$BM{S}_3$-like algebras via the $Z_N$-graded $u(1{)}^2$ Kac-Moody algebra

Armin Ghazi, Ahmad Moradpouri

The Sugawara construction provides a natural way to construct the Virasoro algebra from a current algebra. It was shown in Ref.~\cite{Ghazi:2025oin} that for the $u(1{)}^2$ Kac-Moody…