English

Generalized Kahler Geometry from supersymmetric sigma models

High Energy Physics - Theory 2016-09-06 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.hep-th/0603130,
  title  = {Generalized Kahler Geometry from supersymmetric sigma models},
  author = {Andreas Bredthauer and Ulf Lindstrom and Jonas Persson and Maxim Zabzine},
  journal= {arXiv preprint arXiv:hep-th/0603130},
  year   = {2016}
}

Comments

18 pages

R2 v1 2026-07-22T15:35:19.346Z