Current Algebras and Differential Geometry

Details Current Algebras and Differential Geometry Current Algebras and Differential Geometry

2004-10-18

arxiv.org/abs/hep-th/0410183v2

JHEP 0503 (2005) 035

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday. References and a new paragraph added

Scientific paper

10.1088/1126-6708/2005/03/035

We show that symmetries and gauge symmetries of a large class of 2-dimensional sigma models are described by a new type of a current algebra. The currents are labeled by pairs of a vector field and a 1-form on the target space of the sigma model. We compute the current-current 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 Wess-Zumino type terms.

Affiliated with

Also associated with

No associations

Rating

Current Algebras and Differential Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Current Algebras and Differential Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Current Algebras and Differential Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399077