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arxiv: hep-th/0607010 · v1 · submitted 2006-07-02 · ✦ hep-th

The M5-Brane Elliptic Genus: Modularity and BPS States

Davide Gaiotto , Andrew Strominger , Xi Yin This is my paper
classification ✦ hep-th
keywords ellipticgenusm5-branestatesmodifiedthreefoldcalabi-yaucompletely
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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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