Projective unitary representations of smooth Deligne cohomology groups

Details Projective unitary representations of smooth Deligne cohomology groups Projective unitary representations of smooth Deligne cohomology groups

2005-10-10

arxiv.org/abs/math/0510187v2

Mathematics

Representation Theory

34 pages, LaTeX 2e; Lemma 6.4 is replaced, Subsection 7.2 is deleted

Scientific paper

We construct projective unitary representations of the smooth Deligne cohomology group of a compact oriented Riemannian manifold of dimension 4k+1, generalizing positive energy representations of the loop group of the circle. We also classify such representations under a certain condition. The number of the equivalence classes of irreducible representations is finite, and is determined by the cohomology of the manifold.

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