320 citations · 2.6k across the 109 of their papers we have counts for
6 papers · 2 filters
Odd Chern-Simons Theory, Lie Algebra Cohomology and Characteristic Classes
Jian Qiu, Maxim Zabzine
We investigate the generic 3D topological field theory within AKSZ-BV framework. We use the Batalin-Vilkovisky (BV) formalism to construct explicitly cocycles of the Lie algebra of…
2D and 3D topological field theories for generalized complex geometry
Alberto S. Cattaneo, Jian Qiu, Maxim Zabzine
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 generalizatio…
Non-linear sigma models via the chiral de Rham complex
Joel Ekstrand, Reimundo Heluani, Johan Kallen +1
We propose a physical interpretation of the chiral de Rham complex as a formal Hamiltonian quantization of the supersymmetric non-linear sigma model. We show that the chiral de Rha…
Geometry of the N=2 supersymmetric sigma model with Euclidean worldsheet
C. M. Hull, U. Lindstrom, L. Melo dos Santos +2
We investigate the target space geometry of supersymmetric sigma models in two dimensions with Euclidean signature, and the conditions for N=2 supersymmetry. For a real action, the…
On the AKSZ formulation of the Rozansky-Witten theory and beyond
Jian Qiu, Maxim Zabzine
Using the AKSZ formalism, we construct the Batalin-Vilkovisky master action for the Rozansky-Witten model, which can be defined for any complex manifold with a closed (2,0)-form. W…
Finite dimensional AKSZ-BV theories
Francesco Bonechi, Pavel Mnev, Maxim Zabzine
We describe a canonical reduction of AKSZ-BV theories to the cohomology of the source manifold. We get a finite dimensional BV theory that describes the contribution of the zero mo…