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arXiv · 0802.1556

Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6

Shamik Banerjee·Ashoke Sen·Yogesh K. Srivastava
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Abstract

The original proposal of Dijkgraaf, Verlinde and Verlinde for the quarter BPS dyon partition function in heterotic string theory on T^6 is known to correctly produce the degeneracy of dyons of torsion 1, i.e. dyons for which gcd(Q\wedge P)=1. We propose a generalization of this formula for dyons of arbitrary torsion. Our proposal satisfies the constraints coming from S-duality invariance, wall crossing formula, black hole entropy and the gauge theory limit. Furthermore using our proposal we derive a general wall crossing formula that is valid even when both the decay products are non-primitive half-BPS dyons.

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Shamik Banerjee, Ashoke Sen, Yogesh K. Srivastava. 2008-02-12. Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F098

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