Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclidean Actions, Instantons, Solitons and Supersymmetry   Theories with axionic scalars admit three different Euclidean formulations,
obtained by Wick rotation, Wick rotation combined with analytic continuation of
the axionic scalars, and Wick rotation combined with Hodge dualization. We
investigate the relation between these formulations for a class of theories
which contains the sigma models of N=2 vector multiplets as a special case. It
is shown that semi-classical amplitudes can be expressed equivalently using the
two types of axionic actions, while the Hodge dualized version gives a
different value for the instanton action unless the integration constants
associated with the axion fields are chosen in a particular way. With this
choice the instanton action is equal to the mass of the soliton or black hole
obtained by dimensional lifting with respect to time. For supersymmetric models
we use the Euclidean supersymmetry algebra to derive a Euclidean BPS condition,
and we identify a geometrical criterion which distinguishes BPS from non-BPS
extremal solutions.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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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: hep-ex
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: physics