Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Abelian Berry Phases and BPS Monopoles   We study a simple quantum mechanical model of a spinning particle moving on a
sphere in the presence of a magnetic field. The system has two ground states.
As the magnetic field is varied, the ground states mix through a non-Abelian
Berry phase. We show that this Berry phase is the path ordered exponential of
the smooth SU(2) 't Hooft-Polyakov monopole. We further show that, by adjusting
a potential on the sphere, the monopole becomes BPS and obeys the Bogomolnyi
equations. For this choice of potential, it turns out that there is a hidden
supersymmetry underlying the system and the Bogomolnyi equations are analogous
to the tt* equations of Cecotti and Vafa. We conjecture that the Bogomolnyi
equations also govern the Berry phase of N=(2,2) supersymmetric sigma models
with other target spaces.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph