Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and
  1-loop phase in the S-matrix   We present a semiclassical derivation of the tree-level and 1-loop dressing
phases in the massive sector of string theory on AdS_3 x S^3 x T^4 supplemented
by R-R and NS-NS 3-form fluxes. In analogy with the AdS_5 x S^5 case, we use
the dressing method to obtain scattering solutions for dyonic giant magnons
which allows us to determine the semiclassical bound-state S-matrix and its
1-loop correction. We also find that the 1-loop correction to the dyonic giant
magnon energy vanishes. Looking at the relation between the bound-state picture
and elementary magnons in terms of the fusion procedure we deduce the
elementary dressing phases. In both the semiclassical and 1-loop cases we find
agreement with recent proposals from finite-gap equations and unitarity cut
methods. Further, we find consistency with the finite-gap picture by
determining the resolvent for the dyonic giant magnon from the semiclassical
bosonic scattering data.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol