All $(4,0)$: Sigma Models with $(4,0)$ Off-Shell Supersymmetry

Abstract

Off-shell $(4,0)$ supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkähler with torsion. The off-shell supersymmetry implies that the complex structures are simultaneously integrable and allows us to write actions using extended superspace and projective superspace, giving an explicit construction of the target space geometries.

arXiv comment13 pages

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Cited by in corpus (5)

• The Generalised Complex Geometry of $(p,q)$ Hermitian Geometries
• Yano F structures and extended Supersymmetry
• T-Duality in $(2,1)$ Superspace
• Strong Kähler with Torsion as Generalised Geometry
• $(0,4)$ Projective Superspaces I: Interacting Linear Sigma Models