Three String Junction and N=4 Dyon Spectrum

Abstract

The exact spectrum of dyons in a class of N=4 supersymmetric string theories gives us information about dyon spectrum in N=4 supersymmetric gauge theories. This in turn can be translated into prediction about the BPS spectrum of three string junctions on a configuration of three parallel D3-branes. We show that this prediction agrees with the known spectrum of three string junction in different domains in the moduli space separated by walls of marginal stability.

Figures (3)

• Figure 1: The domains ${\cal R}$ and ${\cal L}$.
• Figure 2: The three string junction containing a $(0,-1)$ string, a (1,1) string and a $(-1,0)$ string ending on D3 branes 1, 2 and 3 respectively.
• Figure 3: Marginally stable three string junctions. In (a) the string ending on the first D3 brane shrinks to zero size, in (b) the string ending on the second D3-brane shrinks to zero size, and in (c) the string ending on the third D3-brane shrinks to zero size.