Work

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

Year: 2009

Type: article

Abstract: 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.

Source: Zurich Open Repository and Archive (University of Zurich)

DOI: 10.48550/arxiv.0911.0993

Authors: Cattaneo, Alberto S., Qiu, Jian, Zabzine, Maxim

Institutions: University of Zurich, Uppsala University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, European Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: G628552264, Integral invariants of knots and manifolds. Loop and path spaces and topological BF theories. Deformation quantization and Poisson sigma models