Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary Representations and BRST Structure of the Quantum Anti--de
  Sitter Group at Roots of Unity   It is shown that for suitable roots of unity, there exist finite--dimensional
unitary representations of $U_q(so(2,3))$ corresponding to all classical
one-particle representations with (half)integer spin, with the correct
low-energy limit. In the massless case for spin $\geq 1$, a subspace of "pure
gauges'' appears which must be factored out, as classically. Unitary
many-particle representations are defined, with the same low-energy states as
classically. Furthermore, a remarkable element of the center of $U_q(so(2,3))$
is identified which plays the role of the BRST operator, for any spin. The
corresponding ghosts are an intrinsic part of indecomposable representations.

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The categories of this paper are: atom-ph
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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: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom