Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the center of mass in non-commutative theories   The dynamics of a stack of N D-branes is described by U(N) gauge theory of
which the central U(1) describes the center of mass motion and the remaining
SU(N) describes the internal dynamics. In the non-commutative situation, these
two parts are coupled by the *-commutator interaction. We describe here how to
identify the correct decoupled U(1) center of mass subsector of U(N) gauge
theory for the case of the non-commutative torus. The internal dynamics
remainder is not a theory of SU(N) valued fields but has a simple description
in momentum space.

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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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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: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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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: adap-org
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The categories of this paper are: acc-phys