Deligne Cohomology for Orbifolds, discrete torsion and B-fields
Deligne Cohomology for Orbifolds, discrete torsion and B-fields
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DOI：
10.1142/9789812705068_0010
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发表时间：
2002-01
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影响因子：
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通讯作者：
Ernesto Lupercio;B. Uribe
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文献类型：
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作者：
Ernesto Lupercio;B. Uribe
本文引入了轨道折线的Deligne上同的概念。证明了光滑群似的第三个Deligne上同群对群似上有连接的gerbes进行了分类。本文论证了II型超弦理论中的$B$-场和离散扭转是一类特殊的带连接的格布，最后利用Deligne上同调构造了它们各自的惯性群面上的一个平线束，即轨道折线情况下的阮内局部。
In this paper we introduce the concept of Deligne cohomology of an orbifold. We prove that the third Deligne cohomology group of a smooth \'{e}tale groupoid classify gerbes with connection over the groupoid. We argue that the $B$-field and the discrete torsion in type II superstring theories are special kinds of gerbes with connection, and finally, for each one of them, using Deligne cohomology we construct a flat line bundle over the inertia groupoid, namely a Ruan inner local in the case of an orbifold.