All (4,1): Sigma Models with (4,p) Off-Shell Supersymmetry

Authors: Chris Hull and Ulf Lindström

Preprint number: UUITP-14/16

Off-shell (4, p) supermultiplets in 2-dimensions are constructed for p = 0, 1, 2, 4. These are used to construct sigma models whose target spaces are hyperkähler with torsion. The off-shell supersymmetry implies the three complex structures are simultaneously integrable and allows us to construct actions using extended extended superspace and projective superspace, giving an explicit construction of the target space geometries.