Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bosonic representation of spin operators in the field-induced critical
  phase of spin-1 Haldane chains   A bosonized-field-theory representation of spin operators in the
uniform-field-induced Tomonaga-Luttinger-liquid (TLL) phase in spin-1 Haldane
chains is formulated by means of the non-Abelian (Tsvelik's Majorana fermion
theory) and the Abelian bosonizations and Furusaki-Zhang technique [Phys. Rev.
B {\bf 60}, 1175 (1999)]. It contains massive magnon fields as well as massless
boson fields. From it, asymptotic forms of spin correlation functions in the
TLL phase are completely determined. Applying the formula, we further discuss
effects of perturbations (bond alternation, single-ion anisotropy terms,
staggered fields, etc) for the TLL state, and the string order parameter.
Throughout the paper, we often consider in some detail how the symmetry
operations of the Haldane chains are translated in the low-energy effective
theory.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin