Generalized Kahler Geometry from supersymmetric sigma models

Details Generalized Kahler Geometry from supersymmetric sigma models Generalized Kahler Geometry from supersymmetric sigma models

2006-03-16

arxiv.org/abs/hep-th/0603130v2

Lett.Math.Phys.77:291-308,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/s11005-006-0099-x

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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