BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma Models

Details BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma Models BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma Models

2001-08-18

arxiv.org/abs/hep-th/0108133v2

Grav.Cosmol. 8 (2002) 129-137

Physics

High Energy Physics

High Energy Physics - Theory

19pages, submitted to G\@C, special issue devoted to Quantum Gravity, Unified Models and Strings to mark 100th anniversary of

Scientific paper

BPS lumps in ${\cal N}=2$ SUSY nonlinear sigma models on hyper-\kahler manifolds in four dimensions are studied. We present new lump solutions with various kinds of topological charges. New BPS equations and a new BPS bound, expressed by the three complex structures on hyper-\kahler manifolds, are found. We show that any states satisfying these BPS equations preserve 1/8 (1/4) SUSY of ${\cal N}=2$ SUSY nonlinear sigma models with (without) a potential term. These BPS states include non-parallel multi-(Q-)lumps.

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