Integrable systems on rectangular W-superalgebras via super Adler-type operators
The paper develops a method to build integrable systems on rectangular W-superalgebras associated with gl(m|n). It achieves this by introducing super Adler-type operators (sATO) that generate Poisson vertex superalgebras. These structures are isomorphic to classical W-superalgebras, allowing for the construction of integrable hierarchies like a noncommutative KdV system on these algebras.