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

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.

References in corpus (4)

• N=8 Dyon Partition Function and Walls of Marginal Stability
• U-duality Invariant Dyon Spectrum in type II on T^6
• A Refined Count of BPS States in the D1/D5 System
• BPS jumping loci and special cycles

Cited by in corpus (1)

• Symmetries of the refined D1/D5 BPS spectrum