Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Luttinger liquids to Luttinger droplets via higher-order
  bosonization identities   We derive generalized Kronig identities expressing quadratic fermionic terms
including momentum transfer to bosonic operators and use them to obtain the
exact solution for one-dimensional fermionic models with linear dispersion in
the presence of position-dependent interactions and scattering potential. In
these Luttinger droplets, which correspond to Luttinger liquids with spatial
variations or constraints, the position dependences of the couplings break the
translational invariance of correlation functions and modify the
Luttinger-liquid interrelations between excitation velocities.

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The categories of this paper are: hep-ex
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The categories of this paper are: stat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol