Projective unitary representations of smooth Deligne cohomology groups

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Gomi, Kiyonori¹ 

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

关键词: Smooth Deligne cohomology;    Infinite-dimensional representation;    p-form gauge theory;    Gerbe;   

DOI  :  10.1016/j.geomphys.2009.06.012

来源: Elsevier

【 摘 要 】

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 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. (c) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free