Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disordered O(n) Loop Model and Coupled Conformal Field Theories   A family of models for fluctuating loops in a two dimensional random
background is analyzed. The models are formulated as O(n) spin models with
quenched inhomogeneous interactions. Using the replica method, the models are
mapped to the $M\to 0$ limits of $M$-layered O(n) models coupled each other via
$\phi_{1,3}$ primary fields. The renormalization group flow is calculated in
the vicinity of the decoupled critical point, by an epsilon expansion around
the Ising point ($n=1$), varying $n$ as a continuous parameter. The one-loop
beta function suggests the existence of a strongly coupled phase ($0<n<n_*$)
near the self-avoiding walk point ($n=0$) and a line of infrared fixed points
($n_*<n<1$) near the Ising point. For the fixed points, the effective central
charges are calculated. The scaling dimensions of the energy operator and the
spin operator are obtained up to two-loop order. The relation to the
random-bond $q$-state Potts model is briefly discussed.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph