Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BPS Lumps and Their Intersections in ${\cal N}=2$ SUSY Nonlinear Sigma
  Models   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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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th