publication . Article . Preprint . 2003

Basic gerbe over non-simply connected compact groups

Gawedzki, Krzysztof; Reis, Nuno;
Open Access
  • Published: 01 Jul 2003 Journal: Journal of Geometry and Physics, volume 50, pages 28-55 (issn: 0393-0440, Copyright policy)
  • Publisher: Elsevier BV
Abstract
We present an explicit construction of the basic bundle gerbes with connection over all connected compact simple Lie groups. These are geometric objects that appear naturally in the Lagrangian approach to the WZW conformal field theories. Our work extends the recent construction of E. Meinrenken \cite{Meinr} restricted to the case of simply connected groups.
Subjects
arXiv: Mathematics::Symplectic Geometry
free text keywords: Mathematical Physics, General Physics and Astronomy, Geometry and Topology, Algebra, Simple Lie group, Symplectic group, Mathematics, Spin group, Topology, Lie algebra, Lie theory, Gerbe, Compact group, Maximal torus, Mathematics - Differential Geometry, High Energy Physics - Theory, 22E70

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