Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Role of Conformal Symmetry in the Jackiw-Pi Model   The Jackiw-Pi model in 2+1 dimensions is a non-relativistic conformal field
theory of charged particles with point-like self-interaction. For specific
values of the interaction strengths the classical theory possesses vortex and
multi-vortex solutions, which are all degenerate in energy. We compute the full
set of first-order perturbative quantum corrections. Only the coupling constant
g^2 requires renormalization; the fields and electric charge e are not
renormalized. It is shown that in general the conformal symmetries are broken
by an anomalous contribution to the conservation law, proportional to the
beta-function. However, the beta-function vanishes upon restricting the
coupling constants to values g^2 = +/- e^2, which includes the case in which
vortex solutions exist. Therefore the existence of vortices also guarantees the
preservation of the conformal symmetries.

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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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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: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: math-ph