Generalized complex geometry and supersymmetric non-linear sigma models

Ulf Lindstrom

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arXiv · hep-th/0409250

Generalized complex geometry and supersymmetric non-linear sigma models

Ulf Lindstrom

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Abstract

After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. Finally I present worldsheet realizations of this geometry,

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Ulf Lindstrom. 2004-09-24. Generalized complex geometry and supersymmetric non-linear sigma models. https://arxiv.org/abs/hep-th/0409250

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