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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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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