Gerbes and duality

@article{Caicedo2002GerbesAD,
  title={Gerbes and duality},
  author={Mario I. Caicedo and Ignacio Mart{\'i}n and Alvaro Restuccia},
  journal={Annals of Physics},
  year={2002},
  volume={300},
  pages={32-53}
}
Abstract We describe a global approach to the study of duality transformations between antisymmetric fields with transitions and argue that the natural geometrical setting for the approach is that of gerbes; these objects are mathematical constructions generalizing U(1) bundles and are similarly classified by quantized charges. We address the duality maps in terms of the potentials rather than on their field strengths and show the quantum equivalence between dual theories which in turn allows a… 

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