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arXiv · hep-th/0607010

The M5-Brane Elliptic Genus: Modularity and BPS States

Davide Gaiotto·Andrew Strominger·Xi Yin
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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.

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Davide Gaiotto, Andrew Strominger, Xi Yin. 2006-07-02. The M5-Brane Elliptic Genus: Modularity and BPS States. https://doi.org/10.1088/1126-6708%2F2007%2F08%2F070

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