Generalities of quarter BPS dyon partition function and dyons of torsion two
Abstract
We propose a general set of constraints on the partition function of quarter BPS dyons in any Script N = 4 supersymmetric string theory by drawing insight from known examples, and study the consequences of this proposal. The main ingredients of our analysis are duality symmetries, wall crossing formula and black hole entropy. We use our analysis to constrain the dyon partition function for two hitherto unknown cases — the partition function of dyons of torsion two (i.e. gcd(Q wedge P) = 2) in heterotic string theory on T6 and the partition function of dyons carrying untwisted sector electric charge in Bbb Z2 CHL model. With the help of these constraints we propose a candidate for the partition function of dyons of torsion two in heterotic string theory on T6. This leads to a novel wall crossing formula for decay of quarter BPS dyons into half BPS dyons with non-primitive charge vectors. In an appropriate limit the proposed formula reproduces the known result for the spectrum of torsion two dyons in gauge theory.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- May 2008
- DOI:
- 10.1088/1126-6708/2008/05/101
- arXiv:
- arXiv:0802.0544
- Bibcode:
- 2008JHEP...05..101B
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- LaTeX file, 63 pages