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arXiv · 1704.05423

Counting spinning dyons in maximal supergravity: The Hodge-elliptic genus for tori

Nathan Benjamin·Shamit Kachru·Arnav Tripathy
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Abstract

We consider $M$-theory compactified on $T^4 \times T^2$ and describe the count of spinning $1/8$-BPS states. This refines the classic count of Maldacena-Moore-Strominger in the physics literature and the recent mathematical work of Bryan-Oberdieck-Pandharipande-Yin, which studied reduced Donaldson-Thomas invariants of abelian surfaces and threefolds. As in previous work on $K3 \times T^2$ compactification, we track angular momenta under both the $SU(2)_L$ and $SU(2)_R$ factors in the 5d little group, providing predictions for the relevant motivic curve counts.

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Nathan Benjamin, Shamit Kachru, Arnav Tripathy. 2017-04-18. Counting spinning dyons in maximal supergravity: The Hodge-elliptic genus for tori. https://doi.org/10.1007/s11005-017-0981-8

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