The Background Field Method and the Linearization Problem for Poisson Manifolds
高能物理 - 理论
2008-11-26 v2 数学物理
math.MP
摘要
The background field method (BFM) for the Poisson Sigma Model (PSM) is studied as an example of the application of the BFM technique to open gauge algebras. The relationship with Seiberg-Witten maps arising in non-commutative gauge theories is clarified. It is shown that the implementation of the BFM for the PSM in the Batalin-Vilkovisky formalism is equivalent to the solution of a generalized linearization problem (in the formal sense) for Poisson structures in the presence of gauge fields. Sufficient conditions for the existence of a solution and a constructive method to derive it are presented.
引用
@article{arxiv.hep-th/0403265,
title = {The Background Field Method and the Linearization Problem for Poisson Manifolds},
author = {P. A. Grassi and A. Quadri},
journal= {arXiv preprint arXiv:hep-th/0403265},
year = {2008}
}
备注
33 pp. LaTex, references and comments added