Central extensions of gauge transformation groups of higher abelian gerbes

Details Central extensions of gauge transformation groups of higher abelian gerbes Central extensions of gauge transformation groups of higher abelian gerbes

2005-04-08

arxiv.org/abs/hep-th/0504075v2

J.Geom.Phys. 56 (2006) 1767-1781

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTex 2e, Xypic; revised version

Scientific paper

10.1016/j.geomphys.2005.10.005

We construct a central extension of the smooth Deligne cohomology group of a compact oriented odd dimensional smooth manifold, generalizing that of the loop group of the circle. While the central extension turns out to be trivial for a manifold of dimension 3, 7, 11,..., it is non-trivial for 1, 5, 9,.... In the case where the central extension is non-trivial, we show an analogue of the Segal-Witten reciprocity law.

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