X iv : 0 80 2 . 05 44 v 2 [ he p - th ] 1 2 Fe b 20 08 Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two

2 00 8 Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two

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 hithert...

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

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, ı.e. dyons for which gcd(Q ∧ 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 cro...

ar X iv : 0 80 1 . 48 21 v 2 [ he p - ph ] 2 8 Fe b 20 08 X ( 1835 ) and η ( 1760 ) observed by BES Collaboration

Rare Decay Modes of Quarter BPS Dyons

The degeneracy of quarter BPS dyons in N=4 supersymmetric string theories is known to jump across walls of marginal stability on which a quarter BPS dyon can decay into a pair of half BPS dyons. We show that as long as the electric and magnetic charges of the original dyon are primitive elements of the charge lattice, the subspaces of the moduli space on which a quarter BPS dyon becomes margina...

ar X iv : 0 80 1 . 13 13 v 4 [ he p - th ] 1 4 Ja n 20 08 N = 4 SYM on K 3 and the AdS 3 / CFT 2 Correspondence

We study the Fareytail expansion of the topological partition function of N = 4 SU (N) super Yang-Mills theory on K3. We argue that this expansion corresponds to a sum over geometries in asymptotically AdS 3 spacetime, which is holographically dual to a large number of coincident fundamental heterotic strings.