The M5-Brane Elliptic Genus: Modularity and BPS States
arXiv:hep-th/0607010 · doi:10.1088/1126-6708/2007/08/070
Abstract
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.
21 pages