Basic gerbe over non simply connected compact groups

Krzysztof Gawedzki; Nuno Reis

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arxiv math/0307010 v1 pith:RA2V46EG submitted 2003-07-01 math.DG hep-th

Basic gerbe over non simply connected compact groups

Krzysztof Gawedzki , Nuno Reis This is my paper

classification math.DG hep-th

keywords connectedgroupsbasiccompactconstructionsimplyappearapproach

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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.

Basic gerbe over non simply connected compact groups

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