Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898798 | Journal of Geometry and Physics | 2009 | 18 Pages |
Abstract
We construct projective unitary representations of the smooth Deligne cohomology group of a compact oriented Riemannian manifold of dimension 4k+14k+1, generalizing positive energy representations of the loop group of the circle at level 2. We also classify such representations under a certain condition. The number of the equivalence classes of irreducible representations being finite is determined by the cohomology of the manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Kiyonori Gomi,