Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Quantum Hall Effect for Extended Objects: from Skyrmionic
  Membranes to Dyonic Strings   It is well known that in two spatial dimensions the fractional quantum Hall
effect (FQHE) deals with point-like anyons that carry fractional electric
charge and statistics. Moreover, in presence of a SO(3) order parameter,
point-like skyrmions emerge and play a central role in the corresponding
quantum Hall ferromagnetic phase. In this work, we show that in six spatial
dimensions, the FQHE for extended objects shares very similar features with its
two-dimensional counterpart. In the higher-dimensional case, the
electromagnetic and hydrodynamical one-form gauge fields are replaced by
three-form gauge fields and the usual point-like anyons are replaced by
membranes, namely two-dimensional extended objects that can carry fractional
charge and statistics. We focus on skyrmionic membranes, which are associated
to a SO(5) order parameter and give rise to an higher-dimensional generalizaton
of the quantum Hall ferromagnetism. We show that skyrmionic membranes naturally
couple to the curved background through a generalized Wen-Zee term and can give
us some insights about the chiral conformal field theory on the boundary. We
then present a generalization of the Witten effect in six spatial dimensions by
showing that one-dimensional extended monopoles (magnetic strings) in the bulk
of the FQH states can acquire electric charge through an axion field by
becoming dyonic strings.

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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin