Mathematics – Quantum Algebra
Scientific paper
2001-02-14
Lett.Math.Phys. 56 (2001) 163-179
Mathematics
Quantum Algebra
19 pages
Scientific paper
We review and extend the Alexandrov-Kontsevich-Schwarz-Zaboronsky construction of solutions of the Batalin-Vilkovisky classical master equation. In particular, we study the case of sigma models on manifolds with boundary. We show that a special case of this construction yields the Batalin-Vilkovisky action functional of the Poisson sigma model on a disk. As we have shown in a previous paper, the perturbative quantization of this model is related to Kontsevich's deformation quantization of Poisson manifolds and to his formality theorem. We also discuss the action of diffeomorphisms of the target manifolds.
Cattaneo Alberto S.
Felder Giovanni
No associations
LandOfFree
On the AKSZ formulation of the Poisson sigma model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the AKSZ formulation of the Poisson sigma model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the AKSZ formulation of the Poisson sigma model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-433002