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Generalized \(\mathcal N=(2,2)\) supersymmetric non-linear sigma models. (English) Zbl 1246.81375

Summary: We rewrite the \(\mathcal N=(2,2)\) non-linear sigma model using auxiliary spinorial superfields defining the model on \(\mathcal T\oplus\mathcal T^*\), where \(\mathcal T\) is the tangent bundle of the target space \(\mathcal M\). This is motivated by possible connections to Hitchin’s generalized complex structures. We find the general form of the second supersymmetry compatible with the known one for the original model.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory

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