Quantum gauge fields and flat connections in 2-dimensional BF theory |
| |
| Authors: | Anton Alekseev Nevena Ilieva |
| |
| Affiliation: | 1. Section de mathématiques, Université de Genève, 2-4 rue du Lièvre, c.p. 64, 1211 Genève 4, Switzerland;2. Institute for Nuclear Research and Nuclear Energy 72, Blvd. Tsarigradsko Chaussee, Sofia 1784, Bulgaria |
| |
| Abstract: | The 2-dimensional BF theory is both a gauge theory and a topological Poisson σ-model corresponding to a linear Poisson bracket. In [3], Torossian discovered a connection which governs correlation functions of the BF theory with sources for the B-field. This connection is flat, and it is a close relative of the KZ connection in the WZW model. In this Letter, we show that flatness of the Torossian connection follows from (properly regularized) quantum equations of motion of the BF theory. |
| |
| Keywords: | Topological field theory Quantum gauge theory Flat connections Kontsevich graphs |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
