N=2 supersymmetric sigma-models in AdS

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages; v4 elaborated discussion in sections 3 and 5, typos corrected, version to appear in PLB; v5 typos corrected in eq (4

Scientific paper

10.1016/j.physletb.2011.08.043

We construct the most general N=2 supersymmetric nonlinear sigma-model in four-dimensional anti-de Sitter (AdS) space in terms of N=1 chiral superfields. The target space is shown to be a non-compact hyperkahler manifold restricted to possess a special Killing vector field. A remarkable property of the sigma-model constructed is that the algebra of OSp(2|4) transformations is closed off the mass shell.

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