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arXiv · hep-th/0603130

Generalized Kahler Geometry from supersymmetric sigma models

Andreas Bredthauer·Ulf Lindstrom·Jonas Persson·Maxim Zabzine
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Abstract

We give a physical derivation of generalized Kahler geometry. Starting from a supersymmetric nonlinear sigma model, we rederive and explain the results of Gualtieri regarding the equivalence between generalized Kahler geometry and the bi-hermitean geometry of Gates-Hull-Rocek. When cast in the language of supersymmetric sigma models, this relation maps precisely to that between the Lagrangian and the Hamiltonian formalisms. We also discuss topological twist in this context.

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Andreas Bredthauer, Ulf Lindstrom, Jonas Persson, Maxim Zabzine. 2006-07-10. Generalized Kahler Geometry from supersymmetric sigma models. https://doi.org/10.1007/s11005-006-0099-x

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