Noncommutative gauge theory for Poisson manifolds

Authors
Jurco, B Schupp, P Wess, J
Citation
B. Jurco et al., Noncommutative gauge theory for Poisson manifolds, NUCL PHYS B, 584(3), 2000, pp. 784-794
Citations number
24
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
584
Issue
3
Year of publication
2000
Pages
784 - 794
Database
ISI
SICI code
0550-3213(20000925)584:3<784:NGTFPM>2.0.ZU;2-S
Abstract
A noncommutative gauge theory is associated to every Abelian gauge theory o n a Poisson manifold. The semi-classical and full quantum version of the ma p from the ordinary gauge theory to the noncommutative gauge theory (Seiber g-Witten map) is given explicitly to all orders for any Poisson manifold in the Abelian case. In the quantum case the construction is based on Kontsev ich's formality theorem, (C) 2000 Elsevier Science B.V. All rights reserved .