The Lie algebroid Poisson sigma model

Details The Lie algebroid Poisson sigma model The Lie algebroid Poisson sigma model

2008-10-18

arxiv.org/abs/0810.3300v1

JHEP 0812:062,2008

Physics

Mathematical Physics

52 pages, Latex

Scientific paper

10.1088/1126-6708/2008/12/062

The Poisson--Weil sigma model, worked out by us recently, stems from gauging a Hamiltonian Lie group symmetry of the target space of the Poisson sigma model. Upon gauge fixing of the BV master action, it yields interesting topological field theories such as the 2--dimensional Donaldson-Witten topological gauge theory and the gauged A topological sigma model. In this paper, generalizing the above construction, we construct the Lie algebroid Poisson sigma model. This is yielded by gauging a Hamiltonian Lie groupoid symmetry of the Poisson sigma model target space. We use the BV quantization approach in the AKSZ geometrical version to ensure consistent quantization and target space covariance. The model has an extremely rich geometry and an intricate BV cohomology, which are studied in detail.

Affiliated with

Also associated with

No associations

Rating

The Lie algebroid Poisson sigma model 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 The Lie algebroid Poisson sigma model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Lie algebroid Poisson sigma model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296281