Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-02-05
JHEP 0805:101,2008
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 63 pages
Scientific paper
10.1088/1126-6708/2008/05/101
We propose a general set of constraints on the partition function of quarter BPS dyons in any 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 T^6 and the partition function of dyons carrying untwisted sector electric charge in Z_2 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 T^6. 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.
Banerjee Shamik
Sen Ashoke
Srivastava Yogesh K.
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