On the AKSZ formulation of the Poisson sigma model
Quantum Algebra
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0102108,
title = {On the AKSZ formulation of the Poisson sigma model},
author = {Alberto S. Cattaneo and Giovanni Felder},
journal= {arXiv preprint arXiv:math/0102108},
year = {2007}
}
Comments
19 pages