Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces
Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces
The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n)Sp(1) (resp.Sp(n)), QKT (resp.HKT)-spaces.We study the geometry of QKT, HKT manifold and their twistor spaces.We show that the Swann bundle of a QKT manifold admits a …