String junctions in curved backgrounds, their stability and dyon interactions in SYM

Details String junctions in curved backgrounds, their stability and dyon interactions in SYM String junctions in curved backgrounds, their stability and dyon interactions in SYM

2007-10-16

arxiv.org/abs/0710.3162v2

Nucl.Phys.B797:268-294,2008

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 3 figures, v2: few minor changes/typos, NPB version

Scientific paper

10.1016/j.nuclphysb.2008.01.008

We provide a systematic construction of string junctions in curved backgrounds which are relevant in computing, within the gauge/gravity correspondence, the interaction energy of heavy dyons, notably of quark-monopole pairs, in strongly coupled SYM theories. To isolate the configurations of physical interest we examine their stability under small fluctuations and prove several general statements. We present all details, in several examples, involving non-extremal and multicenter D3-brane backgrounds as well as the Rindler space. We show that a string junction could be perturbatively stable even in branches that are not energetically the most favorable ones. We present a mechanical analog of this phenomenon.

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