# Poisson-Dirac branes in Poisson-Sigma models

@article{Calvo2005PoissonDiracBI, title={Poisson-Dirac branes in Poisson-Sigma models}, author={Iv{\'a}n Calvo and Fernando Falceto}, journal={arXiv: High Energy Physics - Theory}, year={2005} }

We analyse the general boundary conditions (branes) consistent with the Poisson-sigma model and study the structure of the phase space of the model defined on the strip with these boundary conditions. Finally, we discuss the perturbative quantization of the model on the disc with a PoissonDirac brane and relate it to Kontsevich’s formula for the deformation quantization of the Dirac bracket induced on the brane.

## 8 Citations

### Star Products and Branes in Poisson-Sigma Models

- Mathematics
- 2006

We prove that non-coisotropic branes in the Poisson-Sigma model are allowed at the quantum level. When the brane is defined by second-class constraints, the perturbative quantization of the model…

### Topological and Dynamical Aspects of Jacobi Sigma Models

- MathematicsSymmetry
- 2021

The geometric properties of sigma models with target space a Jacobi manifold are investigated and a detailed analysis of constraints and ensuing gauge symmetries in the Hamiltonian approach is performed.

### Supersymmetric WZ-Poisson Sigma Model and Twisted Generalized Complex Geometry

- Mathematics
- 2006

It has been shown recently that extended supersymmetry in twisted first-order sigma models is related to twisted generalized complex geometry in the target. In the general case there are additional…

### Jacobi sigma models

- Mathematics
- 2020

We introduce a two-dimensional sigma model associated with a Jacobi manifold. The model is a generalisation of a Poisson sigma model, hence providing a topological open string theory. In the…

### Finite-Dimensional AKSZ–BV Theories

- Mathematics
- 2010

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 modes to the full…

### Generalized complex geometry, generalized branes and the Hitchin sigma model

- Mathematics
- 2005

Hitchin's generalized complex geometry has been shown to be relevant in compactifications of superstring theory with fluxes and is expected to lead to a deeper understanding of mirror symmetry.…

### From topological field theory to deformation quantization and reduction

- Mathematics
- 2007

This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds and…

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