Rare Decay Modes of Quarter BPS Dyons

Details Rare Decay Modes of Quarter BPS Dyons Rare Decay Modes of Quarter BPS Dyons

2007-07-11

arxiv.org/abs/0707.1563v2

JHEP 0710:059,2007

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 9 pages; v2: a minor logical error corrected with no change in the results

Scientific paper

10.1088/1126-6708/2007/10/059

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 marginally unstable against decay into a pair of quarter BPS dyons or a half BPS dyon and a quarter BPS dyon are of codimension two or more. As a result any pair of generic points in the moduli space can be connected by a path avoiding these subspaces and there is no jump in the spectrum associated with these subspaces.

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