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

Masashi Naganuma·Muneto Nitta·Norisuke Sakai
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Abstract

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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Masashi Naganuma, Muneto Nitta, Norisuke Sakai. 2001-10-03. BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma Models. https://arxiv.org/abs/hep-th/0108133

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