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Lyakhovich, Simon; Zabzine, Maxim

Poisson geometry of sigma models with extended supersymmetry. (English) Zbl 0999.81044

Phys. Lett., B 548, No. 3-4, 243-251 (2002).
Summary: We consider a general \(N=(2,2)\) nonlinear sigma model with a torsion. We show that the consistency of \(N=(2,2)\) supersymmetry implies that the target manifold is necessary equipped with two (in general, different) Poisson structures. Finally we argue that the Poisson geometry of the target space is a characteristic feature of the sigma models with extended supersymmetry.

Cited in 21 Documents

MSC:

81T10 Model quantum field theories
81T60 Supersymmetric field theories in quantum mechanics

Keywords:

\(N=(2,2)\) supersymmetry; target manifold
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References:

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