2D and 3D topological field theories for generalized complex geometry

Details 2D and 3D topological field theories for generalized complex geometry 2D and 3D topological field theories for generalized complex geometry

2009-11-05

arxiv.org/abs/0911.0993v1

Adv.Theor.Math.Phys.14:695-725,2010

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

Using the AKSZ prescription we construct 2D and 3D topological field theories
associated to generalized complex manifolds. These models can be thought of as
2D and 3D generalizations of A- and B-models. Within the BV framework we show
that the 3D model on a two-manifold cross an interval can be reduced to the 2D
model.

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