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The M5-Brane Elliptic Genus: Modularity and BPS States

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arxiv hep-th/0607010 v1 pith:OVO6KFJS submitted 2006-07-02 hep-th

Davide Gaiotto , Andrew Strominger , Xi Yin This is my paper · ORCID
classification hep-th
keywords ellipticgenusm5-branestatesmodifiedthreefoldcalabi-yaucompletely
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 4 Pith papers

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    Generating functions of D4-D2-D0 BPS black hole microstates in Calabi-Yau compactifications are higher-depth mock modular forms, and solving their anomaly equations determines exact degeneracies and topological invariants.

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