Semichiral Sigma Models with 4D Hyperkähler Geometry

• Semichiral sigma models with a four-dimensional target space do not support, extended N = (4, 4) supersymmetries off-shell [1, 2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkahler geometry. We give non-trivial examples of these models.

Subject headings

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

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ref (subject category)

art (subject category)