Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Windows of SU(N) Gauge Theories, Higher Dimensional
  Representations and The Size of The Unparticle World   We present the conformal windows of SU(N) supersymmetric and
nonsupersymmetric gauge theories with vector-like matter transforming according
to higher irreducible representations of the gauge group. We determine the
fraction of asymptotically free theories expected to develop an infrared fixed
point and find that it does not depend on the specific choice of the
representation. This result is exact in supersymmetric theories while it is an
approximate one in the nonsupersymmetric case. The analysis allows us to size
the unparticle world related to the existence of underlying gauge theories
developing an infrared stable fixed point. We find that exactly 50 % of the
asymptotically free theories can develop an infrared fixed point while for the
nonsupersymmetric theories it is circa 25 %. When considering multiple
representations, only for the nonsupersymmetric case, the conformal regions
quickly dominate over the nonconformal ones. For four representations, 70 % of
the asymptotically free space is filled by the conformal region.
  According to our theoretical landscape survey the unparticle physics world
occupies a sizable amount of the particle world, at least in theory space, and
before mixing it (at the operator level) with the nonconformal one.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph