Abstract
We analyse with the algebraic, regularisation independent, cohomological BRS methods, the renormalisability of torsion-less N=2 supersymmetric non-linear σ models built on Kähler spaces. Surprisingly enough with respect to the common wisdom, we obtain an anomaly candidate, at least in the compact Ricci-flat case. In the compact homogeneous Kähler case, as expected, the anomaly candidate disappears.
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