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Generalized complex geometry and supersymmetric non-linear sigma models

2004/09/24 by Ulf Lindstrom, Lindstrom, Ulf
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0409250

Talk at Simons Workshop in Mathematics and Physics 2004, 11 pages 2 figures

arxiv created 2004/09/24 · arxiv updated 2009/12/01

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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