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

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

2008-02-12

arxiv.org/abs/0802.1556v1

JHEP 0805:098,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 16 pages

Scientific paper

10.1088/1126-6708/2008/05/098

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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