Advances in Theoretical and Mathematical Physics
- Adv. Theor. Math. Phys.
- Volume 14, Number 2 (2010), 695-725.
2D and 3D topological field theories for generalized complex geometry
Alberto S. Cattaneo, Jian Qiu, and Maxim Zabzine
Abstract
Using the Alexandrov–Kontsevich–Schwarz–Zaboronsky (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.
Article information
Source
Adv. Theor. Math. Phys., Volume 14, Number 2 (2010), 695-725.
Dates
First available in Project Euclid: 1 November 2010
Permanent link to this document
https://projecteuclid.org/euclid.atmp/1288619156
Mathematical Reviews number (MathSciNet)
MR2721659
Zentralblatt MATH identifier
1206.81118
Citation
Cattaneo, Alberto S.; Qiu, Jian; Zabzine, Maxim. 2D and 3D topological field theories for generalized complex geometry. Adv. Theor. Math. Phys. 14 (2010), no. 2, 695--725. https://projecteuclid.org/euclid.atmp/1288619156
