Self-Intersection Number of BPS Junctions in Backgrounds of Three and Seven-Branes

Abstract

In a recent paper DeWolfe et al. have shown how to use the self-intersection number of junctions to constrain the BPS spectrum of N=2, D=4 theories with ADE flavor symmetry arising on a single D3-brane probe in a 7-brane background. Motivated by the existence of more general N=2, D=4 theories arising on the worldvolume of multiple D3-brane probes we show how to compute the self-intersection number of junctions in the presence of 7-branes and multiple D3-branes.

10 pages, Latex, 2 figures

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• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• The Cat's Cradle: Deforming the higher rank $E_1$ and ${\tilde{E}}_1$ theories
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• Stable Non-BPS Dyons in N=2 SYM
• String Junctions and the BPS Spectrum of N=2 SU(2) Theory with Massive Matters
• String Webs and Curves of Marginal Stability in Five-Dimensional E_N theories on S^1