AKSZ construction from reduction data

Details AKSZ construction from reduction data AKSZ construction from reduction data

2012-04-11

arxiv.org/abs/1204.2453v1

Physics

High Energy Physics

High Energy Physics - Theory

42 pages

Scientific paper

We discuss a general procedure to encode the reduction of the target space geometry into AKSZ sigma models. This is done by considering the AKSZ construction with target the BFV model for constrained graded symplectic manifolds. We investigate the relation between this sigma model and the one with the reduced structure. We also discuss several examples in dimension two and three when the symmetries come from Lie group actions and systematically recover models already proposed in the literature.

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