Sigma-model soliton intersections from exceptional calibrations

Details Sigma-model soliton intersections from exceptional calibrations Sigma-model soliton intersections from exceptional calibrations

2002-03-20

arxiv.org/abs/hep-th/0203181v3

JHEP 0204:039,2002

Physics

High Energy Physics

High Energy Physics - Theory

21 pages. Version 3: Minor corrections and one further reference: version published in JHEP

Scientific paper

10.1088/1126-6708/2002/04/039

A first-order `BPS' equation is obtained for 1/8 supersymmetric intersections of soliton-membranes (lumps) of supersymmetric (4+1)-dimensional massless sigma models, and a special non-singular solution is found that preserves 1/4 supersymmetry. For 4-dimensional hyper-K\"ahler target spaces ($HK_4$) the BPS equation is shown to be the low-energy limit of the equation for a Cayley-calibrated 4-surface in $\bE^4\times HK_4$. Similar first-order equations are found for stationary intersections of Q-lump-membranes of the massive sigma model, but now generic solutions preserve either 1/8 supersymmetry or no supersymmetry, depending on the time orientation.

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