The M5-Brane Elliptic Genus: Modularity and BPS States
The M5-Brane Elliptic Genus: Modularity and BPS States
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M5-Brane 椭圆属：模块化和 BPS 状态
DOI：
10.1088/1126-6708/2007/08/070
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发表时间：
2006
影响因子：
5.4
通讯作者：
Xi Yin
中科院分区：
文献类型：
--
作者：
D. Gaiotto;A. Strominger;Xi Yin
一个M5-膜包裹在卡-丘三重的四圈上的修改的椭圆亏格编码了四维中无限组BPS态的简并性。通过全纯性和模不变性，它可以完全从有限的一组这样的BPS状态的知识来确定。我们证明了这种计算的可行性，并确定了确切的修改椭圆亏格的M5-膜包装超平面部分的五次三倍。
The modified elliptic genus for an M5-brane wrapped on a four-cycle of a Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states in four dimensions. By holomorphy and modular invariance, it can be determined completely from the knowledge of a finite set of such BPS states. We show the feasibility of such a computation and determine the exact modified elliptic genus for an M5-brane wrapping a hyperplane section of the quintic threefold.