Equivalent String Networks and Uniqueness of BPS States

Abstract

We analyze string networks in 7-brane configurations in IIB string theory. We introduce a complex parameter M characterizing equivalence classes of networks on a fixed 7-brane background and specifying the BPS mass of the network as M_{BPS} = | M |. We show that M can be calculated without knowing the particular representative of the BPS state. Based on detailed examination of backgrounds with three and four 7-branes we argue that equivalent networks may not be simultaneously BPS, an essential requirement of consistency.

28 pages, LaTeX, 18 eps figures

References in corpus (12)

• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• String Network
• BPS Nature of 3-String Junctions
• Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory
• String Junctions for Arbitrary Lie Algebra Representations
• Open string - string junction transitions
• Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings
• BPS Dynamics of Triple (p,q) String Junction
• 3-String Junction and BPS Saturated Solutions in SU(3) Supersymmetric Yang-Mills Theory
• String Junctions and BPS States in Seiberg-Witten Theory
• BPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve Counting
• Worldsheet Dynamics of String Junctions

Cited by in corpus (6)

• Constraints on the BPS Spectrum of N = 2, D = 4 Theories with A-D-E Flavor Symmetry
• String Junctions and BPS States in Seiberg-Witten Theory
• String Junction Transitions in the Moduli Space of N=2 SYM
• Affine Lie Algebras, String Junctions and 7-Branes
• Self-Intersection Number of BPS Junctions in Backgrounds of Three and Seven-Branes
• Strings, Junctions and Stability