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On a possible breaking of global N=2 supersymmetry in non-linear $\si$ models on compact Kähler target spaces

Guy Bonneau
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Abstract

We analyse with the algebraic, regularisation independent, cohomological B.R.S. methods, the renormalisability of torsionless N=2 supersymmetric non-linear $\si$ models built on compact Kähler spaces. Surprisingly enough with respect to the common wisdom, we obtain an anomaly candidate, when the Hodge number $h^{3,0}$ of the target space manifold is different from zero : this occurs in particular in the Calabi-Yau case. On the contrary, in the compact homogeneous Kähler case, the anomaly candidate disappears.

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Guy Bonneau. 1994-07-30. On a possible breaking of global N=2 supersymmetry in non-linear $\si$ models on compact Kähler target spaces. https://arxiv.org/abs/hep-th/9407197

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