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Title 
Current Algebras and Differential Geometry 

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Published in  Journal of High Energy Physics. 2005, vol. 3, no. 035, p. 14 p.  
Abstract  We show that symmetries and gauge symmetries of a large class of 2dimensional sigma models are described by a new type of a current algebra. The currents are labeled by pairs of a vector field and a 1form on the target space of the sigma model. We compute the currentcurrent commutator and analyse the anomaly cancellation condition, which can be interpreted geometrically in terms of Dirac structures, previously studied in the mathematical literature. Generalized complex structures correspond to decompositions of the current algebra into pairs of anomaly free subalgebras. Sigma models that we can treat with our method include both physical and topological examples, with and without WessZumino type terms.  
Note  Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.  
Stable URL  http://archiveouverte.unige.ch/unige:12224  
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arXiv: hepth/0410183v2 

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