Equivalent String Networks and Uniqueness of BPS States

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, LaTeX, 18 eps figures

Scientific paper

10.1016/S0550-3213(98)00719-6

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.

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